Based on what I could find, I don't believe so. Square "Cash" only works with debit cards and/or bank accounts to do direct bank-to-bank transfers. Square is a true merchant processor where the person sending money can use a credit card.
Many people treat their debit cards as credit cards but the rules for their transactions are different, and depending on how your debit card is used you don't get the same level of buyer protection.
Tom's bank might be able to get the funds back if he can prove the seller was fraudulent.