Shooting on private property is completely legal in Hawaii.
There are 3 things, call them side effects of shooting on private property, that can get you in trouble though:
1. Having a bullet leave your property. Instant case of reckless endangering.
2. Violating noise ordinances. Earns you a pricey ticket.
3. Displaying a firearm in view of the public. Can get you charged with terroristic threatening.
So, the trick is to find private property that allows you privacy and noise abatement. I regularly shoot inside my house, using powderless .22 rounds called "Super Colibri" by Aguila. These, and other similar products, have less report than a spring-driven air gun. I would shoot in my backward, but I can't absolutely guarantee that a neighbor won't see me and take offense.