It depends. Many States require that you file a State tax return if you filed a Federal return and have taxable income, regardless of
your anticipated refund amount.
Here's a FAQ (click on see entire answer) with information about State Filing Requirements: https://ttlc.intuit.com/replies/4801660
Here's a FAQ (click on see entire
answer) with information about Federal Filing Requirements: https://ttlc.intuit.com/replies/3302274
