Preheat oven to 350°. Line a rimmed baking sheet with parchment paper.
In a small saucepan, heat first 4 ingredients (through ginger) over low heat, stirring until smooth. In a large bowl, combine almonds, cashews, and pistachios; add honey mixture and toss to coat. Spread on prepared baking sheet; bake 15-20 minutes, stirring once, until golden brown. Cool on baking sheet.
Break cooled nut mixture into pieces; toss in large bowl with coconut, pineapple, and papaya until combined. Store in an airtight container.