They can't repossess your house unless they have secured a loan on it and I have not seen credit card terms that "secure" the loan on your house. A creditor can, however, apply for a charge against your assets, including your home, so that you have to pay them off when you sell. I don't know of this happening with credit card companies but I do know of it happening on other unsecured loans.(posted 9206 days ago)Even though they do not repossess, they can make your life pretty unpleasant.
Hope this helps. Good luck Lee