It depends. He would first have to be qualified to claim your son for those benefits, meaning that he must be living with you. If he is, you can each amend. The problem is, though, that you will end up owing. The IRS, by offsetting your refund, essentially "issued" your refund (paid it). Thus, if you amend, you will have to pay back the refund you are no longer claiming, even though you never saw the money originally.
This still might be worth doing if your son's father can also claim your son and gets a bigger benefit on his tax return than what you did on yours. But there is a very good chance that that's not the case.
Ultimately the decision will be yours but it's fair for you to know the consequences of the decision.
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