Yes, there is a Trader Joe's on Hawaii Island (the Big Island) in Kailua-Kona. The store is located at 74-5459 Pawai Place, Kailua-Kona, HI 96740. This is the only Trader Joe's on the island; other Hawaiian locations exist on Oahu (Honolulu, Kapolei) and Maui (Kahului).
The Kona store carries the chain's signature affordable specialty foods, wines, frozen items, and household products. Hours are typically 8 AM–9 PM daily, but verify on their website or by phone for holiday schedules. It's a popular stop for residents and visitors in West Hawaii.