The dates on the TurboTax Tax Home website are only estimates based on the IRS target.
The IRS target is 21 days from the tax return being Accepted to issue a tax refund. It is NOT a Guarantee
Only the IRS and your State control when and if a Federal or State tax refund is Approved and Issued.
To check the status of an e-filed return, open up your desktop product or log into your TurboTax Online Account. You can find your status within the TurboTax product.
If accepted by the IRS use the federal tax refund website to check the refund status - https://www.irs.gov/refunds
If accepted by the state use this TurboTax support FAQ to check the state tax refund status - https://ttlc.intuit.com/questions/1899433-how-do-i-track-my-state-refund
Due to the pandemic and the stimulus payments being handled by the IRS, the IRS has delayed the processing of many tax returns.
See this IRS website for information - https://www.irs.gov/newsroom/irs-operations-during-covid-19-mission-critical-functions-continue