Get your taxes done using TurboTax

No.  You need to file your federal return again and send it to the IRS.  Sending your federal return to the state was a mistake.  It is highly unlikely that they would send it on to the IRS for you.  Use a mailing service that will track it --like UPS or certified mail so you will know the IRS got it.  There is no penalty for being late if you are getting a refund.

https://www.irs.gov/filing/where-to-file-paper-tax-returns-with-or-without-a-payment
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