After you file

No, you can amend the state without amending your federal return. The steps can be found here below. Depending on which version of the TurboTax software you used to file your state return, you just click on it below to view the steps of amending in that version. 

If you need to undo the amend of the federal return, go here for steps for that https://ttlc.intuit.com/questions/2552802

NOTE: It is recommended to wait until your original state return has been accepted and you have received your refund before amending it. 

https://ttlc.intuit.com/replies/4653469