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

If they get a judgment against you in court, then yes they can place a lien on your home.

Some places won't allow them to, some will though.

Depends as Captian mentioned as to where you live. But normally they want the money, not a lien, so they will almost always first attach
(garnish) your bank accounts, and get a garnishment on your wages at work, before they would think about a lien on your home

Yes, they can if they are awarded money by the court.