It’s unlikely, yes, but in the context of a battle between the executive branch and a state (over some question of rights) then it’s plausible. Depends on the state, why the information is being requested, and what’s going on in politics.

State powers are a check on the federal government (10th Amendment). States need to assert those powers to keep them.

The 10th amendment is practically useless the way courts have interpreted other parts of the constitution.

Can’t win even a single battle if you won’t try to fight.

States fight the federal government all the time. It's practically a primary function of any solicitor/attorney general if only because the federal government of the only other 800lb gorilla in the state

I rarely see it in the news. Even when it is there, the feds usually get their way.