If you’re name is on title, you HAVE to sign the new deed, the Truth In Lending statement, and several other loan disclosures, even if you’re not on the loan. At a VERY minimum, you would have to sign a marital waiver, which some lenders allow and others don’t. Something is seriously wrong here, advise you to tell your divorce attorney about this immediately. Answer to your question is NO, he cannot legally refinance the home without your consent. Somebody is in big trouble here!