If the club has both U12 and U13 teams, and the club thinks your kid is ready for the U13 team, you could always give it a try on the condition that if you think it's not working out he would be dropped back down to the U12 team.
However, if your club only has a combined U12/U13 team that will be competing with U13 teams in the league, then you'd be stuck. If this is the case, I'd try to find another club.