After you file

Possibly, it depends on what the offset was for.  

• The Federal and State tax collection agencies are independent processes, but
• A State refund can be offset if you have outstanding State debts, or if the IRS places a levy against your State refund for unpaid federal taxes,
• The IRS will also give a notice, after the levy, offering you the opportunity to appeal the debt offset.
• "The Department of Treasury's Bureau of the Fiscal Service (BFS) issues IRS tax refunds. 
• Through the Treasury Offset Program, the IRS may reduce your refund and offset it to pay:
• Past-due child support;
• Federal agency nontax debts;
• State income tax obligations; or
• Certain unemployment compensation debts owed to a state (generally, these are debts for
  • Compensation paid due to fraud, or
  • Contributions owing to a state fund that weren't paid)."
• You can review the IRS article Reduced refund