No. You will hear "all his moves" or "all the moves he had".
Someone asks me who's my favorite basketball player. I say:
Dr. J, because of all the moves he do/does.
Are both okay here?
Yes, I was watching a documentary on him and a kid said that after watching him play at Rucker Park.
"Does" is correct.
Because of all?
Because of "he."
If the kid in your documentary said "he do" it's probably because of his dialect. It's non-standard. Probably African American.