Yes. You are able to file your state return free as long as you are using TurboTax Free Edition.
https://turbotax.intuit.com/lp/ty18/ppc/temp_1.htm?znA=c9IVQMGES&znTR=c0ahBPLOh&znTL=c2m5SHOJA&znC3=...
Please note: You are able to begin your tax return using TurboTax Free, but if you do not qualify for TurboTax Free, you will be prompted to upgrade. Also, if you upgrade your federal return to another TurboTax product, it automatically upgrades your state return as well.