Wolf 1061c is about 13.8 light years from Earth. Cruising at 0.04c, your ship will take, oh dear, 345 years. 0.04c is too slow for significant time dilation, so the ship will experience the whole 345 years. Just keeping the ship running for 345 years in interstellar space is a problem. Space is not a pleasant place, and it's really bad at 0.04c.
Over those 345 years, if humanity survives and continues advancing technologically, it's entirely they'll launch a faster ship and overtake yours rending the whole thing moot. If 50 years of advancement meant an increase to 0.05c they'll beat you. (I'm sure there is a name for this dilemma).
Whether or not they'll moon the older, slower expedition as they pass by could be a plot point of your story.
Then there's the question of the payload. What's the point of sending a ship to another star system if it just sits dumbly when it gets there? This leaves you with three sci-fi options:
First is full automation. Humans are very expensive on resources, it's cheaper to send robots. But Earth won't even know the ship has reached Wolf 1061c for nearly 14 years, and any commands will take 14 years to reach the ship. The ship and all its systems will have to be fully automated. We could get a fully automated ship to Wolf 1061c, maybe, but dealing autonomously with what is found there (because we don't know) is well beyond our current capabilities. Project Daedalus is supposed to carry surveying equipment and start sending back information to Earth, but if humans are in the decision loop the delays on analyzing that information will mean even after waiting 345 years for the ship to reach Wolf 1061c there's still generations of work to come.
There's also the problem of maintaining communication and tracking facilities and interest and budget on Earth for 345 years. This is longer than any space agency and most countries have existed and is kind of out of your control.
If you're sending humans they'll obviously die before they get there. One option is to put them in hibernation, but we haven't solved that yet. If you can solve it, you'll have all the extra problems of how to keep those hibernation systems running and powered for 345 years in interstellar space. Even nuclear fuel won't last, and there's not enough solar power between star systems.
The final option is to figure out how to create a generation ship. This is now deep into the realm of sci-fi. Not only will 10-15 generations have to live on the ship, you'll have to figure out how to create a sustainable, sealed biome capable of supporting them for 345 years. We barely know how to do this for a few days.
Normally a ship has to slow down once it reaches its target. Project Daedalus "solves" the problem of slowing down when you get there by releasing probes which start decelerating quite early using the gentle shove of ion engines. This saves the tremendous amount of fuel needed to slow the whole ship down (and the fuel to carry that fuel, and the fuel to carry that fuel...), but it sacrifices the bulk of the mass of the ship in the process and adds extra bulk of carrying probes with all their own computers and engines and shielding.
The Project Daedalus plan is to jettison the main ship... what about the humans and all their stuff? Do they all go into the probes? These much lighter probes use ion engines to very, very, very slowly slow down and achieve orbit. These will have to carry humans, and all their food, water, air, equipment, and shielding they'll need to presumably start a colony, because they're not going back to Earth. That much extra mass defeats the point of using light probes with ion engines instead of having to slow down all the mass of the original ship. The now much heavier probes with all that cargo cannot slow down using small, efficient ion engines.
So no humans on the Project Daedalus plan.