Preheat the oven to 400 degrees. Line a rimmed baking sheet with parchment or foil. Place an oven-safe cooling rack on top.
Toss the chicken wings with oil, salt, and pepper. Place on the cooling rack and bake for 30 minutes.
Meanwhile, combine the SunButter, honey, soy sauce, lime juice, and ginger in a small saucepan with ¼ cup water and heat, stirring until fully combined. It should be the consistency of a thick glaze; if too thick, add more water.
After 30 minutes, remove the chicken and place in a large mixing bowl. Pour the warm glaze over, toss to coat, return to the rack, and bake for another 10 minutes. Place on a serving platter and sprinkle with sesame seeds.
Combine the jam and chilies in a small saucepan and heat over low heat until warm. Serve with the chicken wings for dipping.