No one can say for sure ... if you have a prior year State offset that usually puts the refund date back a week or more. So you will have to wait & see.
But if you mean you owe a 2017 state balance due then that cannot be paid with your 2017 federal refund. In
the File section of the TurboTax program you were given options on how to pay
the state taxes owed. The option you chose will be shown on the Filing
instruction page included in the PDF of your tax return. Download the PDF
to include all forms and worksheets.
Read the state payment instructions carefully since most
states cannot be paid from within the TT system and requires additional steps. https://ttlc.intuit.com/questions/1900884-what-are-my-options-for-getting-my-state-refund-or-for-paying-any-state-taxes-i-owe