Oh, absolutely. Elon Musk for instance, went to all the top (expensive) schools in South Africa, and through them, he met equally privileged people and got a good education to boot.

And, yes, I survived because of my looks and brains - both genetic. No doubt about it.

However, that said, research shows that the most likely people to succeed are those that come from wealthy homes. You can be stupid from a wealthy home and a genius from a poor home - the guy from the moneyed home will succeed but the poor one, despite his IQ won't.