Yes, he lived in a house on Broadway during his presidency. I believe it was at (or near) the old Cunard Headquarters. A walk within a block or two up from Bowling Green and you'll see an historic marker on one of the buildings. I am 98.9897654% sure this is right. So, I can be wrong. But, I'm pretty sure.
The interesting question it raises is: why did he attend St. Paul's Chapel rather than Trinity Church, which was much closer?
Also, if he had a residence in New York, why do repors on his inaugural procession indicate he crossed over on a grandly festooned ferry from New Jersey to old New York City Hall (where he was sworn in) - which, of course, is now occupied by the circa 1841 Federal Hall.