No, the state not being accepted has no bearing on your federal refund. The IRS and your state use separate refunding procedures and schedules. So your refunds are processed by two different entities. IRS processes federal and state processes your state return.
And you can use your State Department of Revenue's website to check status of
state tax refund. Choose your state here
How do I track my state refund? and it will give you steps to track the status
