Yes, if the room is truly dark and you work quickly, you'll be fine. But the room has to be totally dark. If you have a bathroom or walk-in closet with no windows, and you make sure no light is coming in through under the door, you shoudl be fine. Wait a few minutes in the dark for your eyes to adjust, to make sure you can't see any light around the doorway.
Easiest thing is to purchase a film changing bagfilm changing bag. This is a light-proof bag with openings for your arms. You put the camera in the bag, zip it up, place your arms through the holes and can then take out the film and rewind it safely. You still can't see what you're doing, but you don't need a dark room.