State tax filing

No.   If you did not live or physically work in Iowa you do not have to file an Iowa tax return.   You pay tax to the state you live and/or work in---or in your case if you live and work in one of the states with no state income tax, you will not need to file a state return.  Your drivers license and car registration do not dictate where you file a tax return.   However, if you intend to remain in your current state, you should comply with the laws in that state for getting a drivers license and registering your car in that state.

**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.**