Maybe, but probably not. I live in a 2nd floor apartment where all windows face away from the location of the "big city" broadcast and genrally things work well for me. The local CBS channel can be a problem, but I've had varying levels of success toggling between an antenna with power (juiced) and powered off (passive). Bear in mind that neighboring flats represent a crap-ton of drywall between me and the broadcasting stations and I sit about 10 feet below an intervening ridge. And, my antenna is a 29.99 Best Buy special.
Buy a cheap-o and see what happens. If at first you don't succeed, take it back and trade it for door #2, door #3, etc.
Full-disclosure: Nowadays I roll with YouTube TV. It's $70-ish per month and they have very generous terms when it comes to sharing your account with multiple households. Subject to change, obviously.