If there were state taxes withheld from the Form 1099-R distribution, shown in box 12, then you should file a state return to get a refund of those taxes.
If you are asking only because there was a state distribution amount shown in box 14 of your Form 1099-R, then you do not need to file a return for your former state. The Form 1099-R is considered to be income for the state where you live at the time you receive it.
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