What drainage, if any, is coming down the stack from above? If there's no drainage from above (unlikely), then the stack could be your sink vent if you use a sanitary tee instead of a wye, and the trap is close enough so that the trap arm drops at most one pipe diameter from the trap to the san-tee.
But if there's any drainage from a story above, then you can't use the stack to vent the sink. So you'll need some other venting, either a dry vent that ultimately goes through the roof (but can connect to an existing dry vent at 6" above the flood rims of all the fixtures involved), or an AAV. And then connecting the sink drain to the stack with a wye is fine, and perhaps slightly preferred.
Cheers, Wayne