Likely, but not necessarily. Depending (hugely!) on what actually happened, it might be that the car should have started slowing down before the woman changed course.
As an extreme example, if you’re driving at 50 mph and come up behind a kid cycling at the side of the road with a foot separation between the extrapolated trajectories of the bike and your car, should it be OK to continue your course at full speed, or should drivers take into account that kids are kids, and may move erratically?
Also (again purely hypothetical), if the car had already had several similar events on that road that resulted in near misses, should it have slowed down before it even entered the street, knowing the road segment to be particularly dangerous?
I think human drivers, even though they are horrible at attending to the road for extended periods, get into accidents relatively rarely because they know when they really need to pay attention.
Finally, I do not rule out that that “driver behind the wheel” reacted slower than would have happened if (s)he was actually driving the car.
Disclaimer: I’m a layman, and haven’t seen the video ⇒ Let’s wait and see what the NTSB will say about this.