There are military and federal law enforcement here in Hawai'i.  Arguably "law enforcement work" may include prosecutorial work of all sorts.

The Revised Charter of the City and County of Honolulu Section 6-1603 states: "The chief shall have had a minimum of five years of training and experience in law enforcement work, at least three years of which shall have been in a responsible administrative capacity."

Lastly, the statute, using the "Calvin Say rule", as articulated by the Hawai'i Supreme Court, may leave the interpretation of the who is a "resident" up to the Police Commission.

HRS 78-1(c) states: "Resident" means a person who is physically present in the State at the time the person claims to have established the person's domicile in the State and shows the person's intent is to make Hawaii the person's primary residence.

So, if retired Montgomery County Police Chief Charles Moose still visits Hawai'i from time to time, he could very well qualify to be the next chief. :)