I'm sure it'll be possible some day, but I'm not positive that it'll be possible in the general case before we reach the Singularity. And when we get there self-driving cars are going to be a small side-effect of this unprecedented revolution.
I can't help to draw a parallel between these threads about self-driving cars where many people are saying that it's basically a done deal and we just need to wait a few years, and that thread I read a few hours ago about the Boing 737 Max re-certification being delayed once more. I know it's a bit of a fallacy to treat HN has a singular entity but when I read the threads about the 737 the consensus in here is that "it's a death trap and I'll never fly one of these planes ever again" but at the same time we're totally optimistic that the industry will have perfected self-driving technology in our lifetimes? The industry has been cutting corners on planes that cost a fortune and didn't manage to make them safe to operate in unobstructed airspace because of a minor sensor dysfunction but they're totally gonna nail the incredibly complex task of operating a 1+ton vehicle at highway speeds in much less controlled environment?
I can totally see an ever-increasing amount of driver assistance in the future. But fully autonomous driving everywhere at all times? I'm really not so sure.