I didn't manage to land any interviews at "top" companies when I was in college, but I think that was largely because I applied way too late (apparently for companies like Google,FB, etc, you need to apply by like November of the year before for internships). However, I do know other people who managed to get Amazon, Microsoft, and Google internships even though they didn't interview at our school, so there seems to be some way to get in by applying yourself.

I've heard from one person that they managed to get an interview at FB by first getting an internship at Amazon so you can try that. I suspect this is how I got my interviews (for full time positions though) at Google/FB as well.