TurboTax would have no information whatsoever concerning a deposit to your bank or debit card account.
Only the IRS controls when and if a stimulus payment is distributed.
Go to this IRS get my payment website - https://www.irs.gov/coronavirus/get-my-payment
If you do not receive any other stimulus payments by January 15, 2021, then the stimulus payment for which you are eligible to receive will be entered on your 2020 federal tax return as a tax credit on Form 1040 Line 30.
The TurboTax program will ask about stimulus payments in the Federal Review section of the program.