Payment for what? If you mean payment for TurboTax fees, no. First of all, you should not have a fee to amend a return you prepared using TurboTax unless the changes you made required you to upgrade to a higher version of the software.
Secondly, if you are getting a refund for an amended return, it comes to you as a check that the IRS mails to the address on your tax return. It is not possible to pay the fees from the refund.
You have three years from the filing deadline to submit an amended return. Wait til you can pay if you need to upgrade in order to amend.