Hmmmm...Although I spent a good deal of time in the pacific, I'm really not that good with names. One of the things I sometimes do for fun is simply reverse the spelling of names I know.
Example: James becomes Samej and Jamie becomes Eimaj.

You might also go to http://www.babynamesworld.com/category-polynesian-names.html or

http://www.babynamenetwork.com/baby_names/origins/Polynesian_baby_names.cfm

These two sites will give you some authentic island names and I'm sure there are others.

Have fun & enjoy your games