Hawaii law only requires an order from a court of competent jurisdiction, not necessarily a Hawaiian or Federal court.
This probably bears on the issue:
Stands to reason that a court in one state, if they are to give full faith and credit to records of another state, must be able to order such records or copies thereof produced as a way of "proving" them.
Once we got the foot in the door, insofar as some court agreeing there is an issue here that requires adjudication, then an appeal to the Federal court system would be all that is needed.
Regardless of it being a state-to-state issue, the federal law trumps all state laws, and if a fed court says “hand it over” they got no choice.
Full Faith and Credit clause does not require state #2 to obey every order issued by state #1 - state #2 is always able to re-examine the validity of such issues as personal jurisdiction over the defendant(s), which is clearly absent here. Lots of cases establish this principle.