I'm sure they could. But why would the Hawaii government be announcing it?
I mean calls from Ann to Gramma who then called or otherwise informed the newspapers that the baby was born in HI at the false address. I am not saying this happened, just that it could have. Since 0bama has scrubbed, sealed or otherwise made unavailable practically all the identifying records of his life, and wrote (with another’s help, no doubt) two stories of his Wonderful Life that are in the main, fantasies - what the facts are is very difficult to determine.