The OP can most definitely get a drivers license in Hawai'i with the following conditions:

1. they will need an address of some kind, although no proof of residency is required (proof of residency *is* required for state ID cards)

2. they will need to take a written test - and you better study for it, because it's hard

3. they will need to take a road-test unless surrendering a license from another US state or Canada

4. they will need to show proof of admissibility in the US - ie, their passport must included the necessary visa (Canadians are excepted). Quite a few folks from Japan who have vacation property in HI will have a HI drivers license to use while visiting - it's just easier than a Japan license+IDP for a frequent visitor who is integrated into the local scene

5. If the HI DMV knows you have a license from another jurisdiction, they will ask you to surrender it - I watched a man from Vancouver try to wrap his head around the concept of surrendering his BC license for a HI license, then surrender his HI license for a BC license after snowbird season, then repeat the same process the following year, before he finally figured out it wasn't worth the hassle.

So, it can be done...not easy, and definitely impossible unless the OP actually flies to HI to do it.