You can't go to jail for not paying your credit cards but the credit card bills can be sent to collections where the collection agency will then continue to harass you for up to 7 years and they could even sue you during those 7 years and possibly take your home, car and any other possessions to pay back the credit card.
But they have to take you to court for that.
After 7 years the debt collector can't legally force you to pay any money back on the credit cards.