Not too many food
factories on those islands, nearly everything's imported, so basically same risks as back home, read the labels.
Of course a mixed snacks product from another, island, or less developed nation, likely best avoided, but mostly where the locals shop not yachtie stores.
Locally prepared foods while touring, if done in that location, ask them if **any** dishes cooked there use peanuts, explain the dangers, you should be OK, can't recall
indigenous dishes with peanuts offhand.