Do you mean your refund? No. Once Turbo Tax Transmits it to the IRS or state they are done with their part. Turbo Tax only gives you an estimated date. Now only the IRS can tell you.
Once your federal return has been accepted by the IRS, only the IRS has any control. TurboTax does not receive any updates from the IRS. Your ONLY source of information about your refund now is the IRS.
You need your filing status, your Social Security number and the exact amount (line 34of your 2020 Form 1040) of your federal refund to track your Federal refund:
To track your state refund:
If you chose to have your TurboTax fees deducted from your federal refund, that will take some extra time, while the third party bank handles the refund processing.