No. Anyone who has a credit card in their name is responsible for the debt. Even for an additional card holder as they are the principal card holder and signed the agreement, regardless of what it is spent on. Every missed payment or failure to pay will lower his credit history score and may affect yours too if your details are financially linked. Do a 30 day free credit check of yourself to see what your score is and ensure he can't ruin your credit history. If you are linked to him, apply to have his history severed from yours, so when you are credit checked for credit cards, loans direct debits etc they don't see his poor history and refuse you because of it.
If he fails to pay and you live together ensure your possessions are not available for bailiffs to take, to satisfy part or all of the debt.
Look after number one and don't look back.