No, you play correspondence style. So if you share a bathroom with somebody then you make a move when you take your shower and they make a move when they take their shower. The time required to take a shower and to make a chess move aren't that different given the distraction of trying to bathe and calculate at the same time. I guess the game would take a month or two to play.
You should shower more often :P
I shower once a day. At one move per day a game lasting 30-60 moves would take a month or two. Maybe you should shower less. :-).
It might really take off with people that like to play themselves. Bobby Fischer sure could have used one of these :)