Like every combat ever recorded in history: it depends.
If your cyborg is, simply put, better faster stronger and smarter than your human, it is going to win. It really wont matter whether a roll occurs or not. It'd be like asking whether you could dodge one of Mike Tyson's punches. The answer is "hell no." You are simply out classed, and face it. There is a point where the cyborg must win. The same goes for any machine such as a trash compactor or even an anvil. If you're dumber than an inanimate object, and it's stronger than you are, you'll lose! Take this to an extreme, and it doesn't really matter if the cyborg is fighting or not (Warning: link is to Deadpool. It's probably as benign as Deadpool gets, but still probably qualifies as NSFW).
If your cyborg is... well... not better faster and stronger, then it will lose. Take Atlas here, with my preferred swear-mod overdub. Atlas is an amazing machine, but it shows just how hard it is to do object recognition in a real world. The process is slow. Combat is fast. It is entirely reasonable that the processing time could be enough to let you dodge a strike.
So what does the fuzzy region between these extremes look like? One answer comes from another overdub of the same Atlas video, with the same quality of hardware but with a more insidious intelligence. It's not your punching swinging story your question asks about, but its worth pointing out that there are other ways to fight. (And Thucydides answer is utterly chock full of examples of that)
One major limit for a cyborg is its musculature. Typically, the cyborgs we see in movies have a very human musculature. This means they have similar weaknesses and strengths as a human body does. There are strong alignments of muscles, and weak ones. When going for a killing blow, which is typically what you're referring to when looking for these "roll on the floor" dodges, you have an already disoriented opponent, and you are willing to align all of your muscles to deliver maximum damage to an opponent that does not react. If you have done this, you have sacrificed the geometry you need to actually respond. You don't have muscles in the right places to correct the path. Maybe if you're a T-1000 cheating like a hobo with liquid metal you can do anything you want, but otherwise you have to obey physics.
Beyond the typical "roll out of the way" gimick, it's worth noting that there are literally entire fighting styles centered around a "melding" of the two fighters such that it's not really reasonable to try to analyze the combat in such a divided way. These styles focus around creating complicated interconnected balances which flow rapidly from one to the other, making it so that your opponent is eventually completely dependent on you for balance. Aikido, Stephen Segal's art of choice, is one great example of this. These styles would be a very interesting opponent for the cyborg. They are designed to reach regions where calculating your actual position and momentum is difficult. If the cyborg is willing to enter those regions, it may be disoriented by these sorts of attacks as a human is. If the cyborg is not willing to enter these regions, the theory would be that the Aikido practitioner then has enough of an advantage to dominate the fight.
Of course, the best way to win a fight is to not get in one... especially when the other guy is actually a cyborg from the future. I'm just sayin'