Correct. GA courts do not have jurisdiction over HI officials. As much as I have cheered for Taiz in the past this seems foolish.
But GA courts do have jurisdiction over GA voting ballots, and may require HI natives wishing to appear thereon make proof of HI orign appear.
A) Taitz may have showed up to make sure this effort doesn't go anywhere; and
B) HI Law allows the release of vital records to a court of "competent jurisdiction" ... IOW, it doesn't have to be a court that has some sort of formal "jurisdiction over HI officials." Under federal law, if another state requests legal verification of vital records, the issuing state is supposed to provide it. Obama voted for that law, by the way.
Georgia does have authority. They have to file under the interstate agreement of Detainers. On its face it is not enforcible but it is valid.
I've spent a lot more time deriding the stupidities of Orly Taitz. Of course, Orly isn't the attorney of record here, so the subpoena is not carefully crafted to not be responded to. Subpoenas are generally enforceable across state lines, to the same extent as a subpoena issued in the jurisdiction to which the subpoena is sent. Banks, telephone companies, and the like, respond to out of state subpoenas all the time.
"Jurisdiction" only comes up if the subpoena is flouted. Then you have to go to a local court, and have them issue the subpoena, so that if it is not responded to, the local court has jurisdiction to hold the person the subpoena was issued to in contempt.
The question should come down "could a court in Hawaii issue a valid subpoena for these materials?" If the answer is yes, the subpoena is probably enforceable -- assuming that Orly Taitz keeps here involvement purely nominal.