No. Once you e-file or mail a tax return, you cannot edit it. Changing what it says on the TurboTax account site will not change anything that the state received when you e-filed, and will just mess up the return if you need to amend it later. Leave it alone. Let the state process it fully. And if you made a mistake, wait for it to be processed and then amend.
To amend only a state return:
https://ttlc.intuit.com/questions/2824532-i-need-to-amend-my-state-return
**Disclaimer: Every effort has been made to offer the most correct information possible. The poster disclaims any legal responsibility for the accuracy of the information that is contained in this post.**