He could, but it would involve a police report. I certainly would understand if he didn't want to go that route.
Otherwise, he may just be limited to disputing what isn't his. Very likely it would come back as verified. From that point forward, you'd have repair which may result in your BF paying those debts.
Did any of those debts or "opened" dates on the CRs occur when your BF was a minor? Does he suspect that there are new accounts being opened now?