I'm currently 3years banned for entering in US after overstaying my visa, is it possible to request a visa to come back with a different passport? Would that work?
Unlikely to work. Your ban is against you and getting a new passport doesn't change who you are. Your name, date of birth and place of birth will still be the same.
Have a look at this similar situation UK: Is a 10 year ban still valid after acquiring new citizenship?