There are multiple ways using which you can pay off another person’s credit with your credit card.
You can use balance transfer facility and send to money to another person’s credit card.
You can withdraw money from the ATM using your credit card and pay off the debt. However, you will be charged per transaction and withdrawal limit is allowed only up to a certain percentage.
You can a write a cheque to the person and this too will cost a lot as there are interest charges and processing fees.