TurboTax would have no access to your stimulus payment. If you had your TurboTax fees paid from your federal refund, the IRS did not have your direct deposit information for the stimulus payment and would have sent it to the bank that took the fees out of your refund. That bank would have declined the deposit and the IRS would have issued a paper check and mailed it to you at the address on your tax return. Could that be what happened? Was your address on your tax return correct? The IRS may not have processed your check yet if that is what happened.
You can track the stimulus payment on this portal: Get My Payment
See these Q&As for more info: Get My Payment Frequently Asked Questions | Internal Revenue Service
https://www.irs.gov/coronavirus/economic-impact-payment-information-center
