No, you cannot do that, because information flows from the federal return to the state return in TurboTax. Since you cannot use the Free Edition for a federal return, you cannot use it for a state return. See the software for sprintax instead:
NON RESIDENT ALIEN
If you are a non-resident alien, your return must be filed on Form 1040NR, which cannot be prepared using TurboTax. You can use TT’s partner, sprintax:
https://www.sprintax.com/non-resident-alien-tax-1040nr-turbotax.html
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