Short Answer: Insufficient Information Available To Provide Meaningful Answer
Previously, it has always been assumed that quantum entanglement can't be used to send information, which would mean no, you cannot use entanglement for FTL travel. The reason for this is that any situation which allows you to send any information faster than the speed of light can also be used as a time-machine under special relativity, and time-machines be scary.
Relativity and quantum mechanics are the two most tested, most successful models of reality ever created in the history of humanity.
They are also both wrong.
The problem is they don't agree. The two theories are completely incompatible with each other when it comes to the definition of what fundamental reality is. Relativity says spacetime must be smooth and continuous. Quantum mechanics says it can't be. Quantum mechanics says spacetime must be flat and unchanging, relativity says the presence of matter means that it cannot be and spacetime must curve. Relativity says nothing can move faster than the speed of light. Quantum mechanics says hold my beer.
Entanglement is what led Albert Einstein to finally disown his grandchild of Quantum Mechanics, because it implies that FTL communication might (big if) be possible. We have, for decades, assumed that Einstein was right and QM was wrong, and that entanglement cannot be used to transmit information faster than light, even if the process itself happens instantaneously. This debate was codified in the EPR Paradox. Every single experiment thus far shows that entanglement occurs instantaneously (i.e. faster than the speed of light), but so far no one has figured out a way to transmit information with it, and indeed, most scientists assume it is impossible because relativity says so.
So why all the heartburn about entanglement? Well as previously stated, any way to send information faster than light is equivalent to a time machine under relativity, and entanglement seems to do exactly this. So scientists continue to sweep the problem under the rug and say "but no information is transmitted," and experiments continue to say "well maybe there is," which scientists respond with "but that would mean a time machine is possible!"
Why is this a bad thing? Well, other than ideas about killing your own grandfather before you're born, it breaks a fundamental assumption about physics: locality.
Locality states that an object can only be influenced by its immediate surroundings (i.e. the surroundings that can be reached from it slower than light during any given time interval), and is the underpinning of our understanding of cause and effect in relativity. Without locality, it becomes impossible to measure cause and effect in relativity, and indeed, an effect could precede its cause without the tyranny of locality. This is because relativity says that space and time are the same thing, and you can trade one for the other, so long as the total amount of space and time doesn't change (space curvature). This is required to explain experiments which show that the speed of light is constant in all inertial reference frames. In other words, you and I will both measure the speed of light as 300,000 km/s, even if I'm traveling at 299,000 km/s and you're standing still.
The problem is quantum mechanics doesn't care. QM is a strong independent theory don't need no relativity, and seems to throw locality out the window with things like entanglement and quantum tunneling. Because QM treats space-time as flat and unchanging, it has no concerns about things exceeding the speed of light, and indeed, often requires things to happen faster than the speed of light.
But why can't we just take QM and plug it into relativity, like say let QM do it's thing on a bumpy spacetime? Well, when we do, the equations explode. Black holes form, the universe collapses, NaNs pop up everywhere. When QM and relativity are combined, they utterly and completely lose their ability to make predictions about the world. Do fairies pop up and move charges around with unicorns? Do angels dance on the heads of pins? Do Jesus and Buddha play basketball with planets? The short answer is yes, all of that and more, because the equations can no longer disprove that is what's going on.
Clearly this is absurd.
So then we have traditionally said "locality must hold" and swept QM's quirks under the rug by saying "but no information can actually be transmitted faster than light, even if QM does things that happen faster than light." We do this because experiments say relativity is absolutely correct, and relativity requires locality in order to be absolutely correct. However, experiments have also shown QM is absolutely correct, and QM doesn't require locality to be absolutely correct. This has never really been a problem since QM's experiments have rarely directly conflicted with anything relativity has said (i.e. said locality must not be correct), but because of better tests on QM, it's starting to look like locality might have to go.
This of course creates a huge problem, as the two best theories for understanding the universe are in direct conflict: relativity requires locality to exist, while quantum mechanics is starting to require that it does not exist.
What this means for physics is completely unknown. It has broad implications from questions like "What is time?" to "Do we have free will?"
For now though, in our almost religious fervor, we have put up a few bulwarks to protect locality. In QM these are known as no-go theorems. One no-go theorem is the no-teleportation theorem, which states that quantum states cannot be teleported instantaneously, and thus can't be sent over quantum entanglement. So no, you can't use entanglement to allow for FTL travel.
However, the justification for most of these no-go theorems is locality, so if that goes, the theorems must go as well, and experiments at this point are almost screaming at us to abandon locality, so ultimately, who knows?
In the end, we simply don't have enough information to say one way or the other, because it is at the edge of the frontier of physics. In order to truly put the question to rest, we have to have a grand unified theory, one that can explain all of the observed experiments of both relativity and quantum mechanics under the same framework.
Unfortunately, we've hit a wall with this. We've been attempting to unify relativity and QM for nearly 100 years, and it's been a series of abject failures. Without new experimental evidence about the world, we don't have any nuggets to point us in the right direction for how to solve the problem. We need an experiment that disproves, rather than proves, something about either QM or relativity, and that has not been forthcoming at all. Every experiment says "yes relativity is right" and "yes QM is right," but the math says "No! They can't both be right."
Ultimately, we may have to abandon locality in order to unify relativity and QM, and that means there may be some loopholes that allow us to go faster than light.