Can you pay one credit card off with another credit card each month?

Sure you can, BUT... make sure the second card has a grace period for balance transfers, and that it doesn't charge a fee for the transfer. Also, if it gives you checks you can write for transfers, you'll know the payment will get there on time. I have done this on occaison - Chase Gold Visa has all three required features - transferring only part of the balance to make sure I can pay off each card at the end of the grace period. If you transfer the whole balance, and continue to use the first card in the second month, by the end of that month you will have two balances to pay off. This can escalate pretty fast, so think it through thoroughly.