This story was originally run in June 2010. A temp worker at the Board of Elections would not have access to vital records held by the Dept of Health, and the offices are not located near each other (Pearl City for BOE and Honolulu for DOH), so it is highly unlikely that he would inteact on a regular basis with anyone in the Vital Records section of DOH.
Regardless of whether Corsi is generally correct in his assertions, this particularly story is most likely bogus.
Adams responded, "They may say, 'We don't have access to that.' The regular workers don't, the ones processing ballots; but the people in administration do. I was the one overseeing the work of the people doing the balloting." ..
This seems to be your answer.