No. If you used online Deluxe---which is what you are posting your question from---your fee is the same whether you e-file the state return or mail it in an envelope. The fee is not for e-filing---it is for using the software to prepare the state return and letting TurboTax do all of your calculations for you.
If you want to delete the state you can do that and then try preparing the state on the state's tax site yourself. You will need information from your federal return in order to prepare a state return.
https://ttlc.intuit.com/questions/1900608-how-do-i-delete-my-state-return-in-turbotax-online
https://ttlc.intuit.com/community/state-taxes/help/how-do-i-contact-my-state-department-of-revenue/0...
**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.**
