My entire return was offset. Claimed son & filed HOH. If I amend return & file Single & his father amends & claims him will he be granted the $ that was offset?

My entire return was offset due to defaulted student loans. I was really counting on my tax return to start paying off debt including, ironically, my student loans. I claimed my son as HOH. If I amend my return and file Single, and his father amends and claims him and files HOH, will he receive the money I would have gotten for our son?