Not going to EVMS (attending elsewhere this summer) but currently live within 15 min of EVMS and very familiar with Norfolk since I live and work nearby. I highly recommend having a car. Public transit around here sucks (we do have buses but they can be sketch/unreliable and the rail system goes around Norfolk but no where else) and the city of Norfolk doesn't have too much going on if you like to do other things besides bar hopping. I much prefer to be able to go to the beach, parks. You could probably scrape by without a vehicle if you live super close to campus and don't want to do anything besides go back and forth to campus and home. There are nice areas of Norfolk but there are also a lot of sketchier locations around that I wouldn't want to walk by myself around after dark. Be sure to check out the area you plan to live in before you sign the lease.
Basically you could get by without one if you just go to and from class. But living in Hampton Roads, I wouldn't be able to live without a vehicle and be happy.