I haven't shopped in Honolulu for a while, but I don't know of any perfume stores other than the chains like Sephora. And I'm fairly sure that there aren't any on the outer islands.
There are two perfume makers there that might interest you, though. Saffron James makes four very nicely done (and expensive) fragrances based on island flowers. Malie Kaua'i makes exquisite (also expensive) soaps, lotions, and home fragrances. I'm guessing that you will find those in a shop or two on O'ahu and Maui.
We do have a member or two that live in Honolulu. Maybe they will chime in! Have fun, Ecaruthers, and good luck avoiding those tourist traps!