No. As he moves up to HS, the occasion that a runner would go without finding the ball would be so seldom, the reward would not outweigh the risk (of throw ending up in LF and run scoring).
He should just keep working on being the best catcher he can be. If his arm strength, accuracy, blocking ability and game awareness prevent runners from attempting to take a base, he has done his job well.
Now, having an effective, well orchestrated back-pick behind the runner at 2b is another story. This can help keep opposing teams from getting extra steps on their secondary leads.