Once a tax return has been Accepted by the IRS, TurboTax receives no further information concerning the tax return or any tax refund.
Did you e-file your state tax return and was it accepted?
Only the IRS and your State control when and if a Federal or State tax refund is Approved and Issued.
Use this TurboTax website to check the status of an e-filed return and if it was either accepted or rejected - https://turbotax.intuit.com/tax-tools/efile-status-lookup/
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
