Can a credit card company put a lien on my house?

Not unless your debt was secured by the house. Most credit card debt is unsecured debt. A creditor cannot take your house for an unpaid unsecured debt. If a creditor comes to you later and asks you to sign something that puts your house or car up for collateral for your current credit card debt, DO NOT sign it before speaking with a Jacksonville consumer law attorney first to know your legal rights and the consequences of signing such an agreement.