Once your return is accepted for processing by the IRS and/or State TurboTax has no control over the processing of your return and/or release of your refund. It is up to the bank's discretion to issue an early refund (you can contact your bank directly). If you have any inquiries on any delay you should contact the IRS or your state Department of revenue directly for further assistance.
There is a couple of FAQs to help you track your refund