Going to college in NYC and building a career at the same time?

I want to start an acting/dancing/singing career in NYC, and am currently not very close to that location (I don't want to divulge my location, but it's very Midwest) and want to transfer to a college in or around New York City and build a resume at the same time (look for agents, go to open calls, etc.) Is this a feasible goal? What colleges would you New Yorkers/actors recommend?