You are asking about making a payment for one credit card using another credit card. While it is not literally possible, you can opt for credit card balance transfer which allows you to transfer certain credit limit of one credit card to another.
Each credit card company has its own rules and only allow certain customers to transfer the credit limit to another card. Credit card balance transfer helps you manage the debt and enjoy low interest rate.
You can also transfer your money from HDFC credit card to any e-wallet and pay the SBI credit card bill using the e-wallet. Some e-wallets directly allow you to pay the bill, or you will have to transfer the money from e-wallet to your bank account to pay the credit card bill.