You can call customer support and pay over the phone, but that may still need the security code. You might need to call the card issuer.
Or, you could take cash to a grocery store or drug store and buy a prepaid debit card with enough money on it to pay the fee (the service fee for the card is about $5), and then use that card to pay Turbotax.
Or, you could go to a local store like Target, Costco or Walmart, buy Turbotax on a CD with cash or your faded credit card. Install it on your computer, and download your tax file from online, and finish and file on your computer.
For customer support hours and link, see below. Use the web form and type your question or a keyword. You will get an appropriate phone number for your issue. (You will not get a phone number if you use the link outside of operating hours.) https://ttlc.intuit.com/replies/3300041