Absolutely.  I'm 60 years old; had all kind of experiences.  Retired military, lots of responsible jobs, kids, a wife, homes, the whole American experience.  I can say without any doubt, the most defining aspect of my identity is my blackness.  Despite my endeavours to be seen as more than just a black dude, in American society, I've never been able to overcome it.  So if you can say the same thing about being white, absolutely -- go for it!