Yes, Berkeley or UCLA would be decent schools, I guess...
Getting into either school is very challenging. But kidding aside, I know some people who started late, got hooked, did their PhD in decent schools, and have been enjoying since then a really good academic career. I'm sure there's also examples of people who did not fare so well, but then again that comes with the territory when you enter a graduate program. But to put your mind at rest, it's definitely feasible.
