The date of the TurboTax website is only an estimate.
Once a tax return has been Accepted by the IRS or a State, TurboTax receives no further information concerning the tax return or the status of any tax refund.
Only the IRS and your State control when and if a Federal or State tax refund is Approved and Issued.
If accepted by the IRS use the federal tax refund website to check the refund status - https://www.irs.gov/refunds