I would say no.
In this case, I would argue that he never had possession, and thus never had an opportunity to return them to the rightful owner. By statute, and by common sense, in this case the theft wasn't the reception of the coins, but the willful failure to return them.
On the other hand, if they ever moved in the future, I would expect the defendant to end up back in court for theft, and possibly perjury. No problem with the statute of limitations, because again, the crime happens when the defendant has an opportunity to return them, but fails to do so.