Stir together ½ cup ketchup, ¼ cup dark brown sugar, ¼ cup red wine vinegar, 3 tablespoon soy sauce, 2 tablespoon Pickapeppa sauce, 1 tablespoon Jamaican jerk seasoning, and 1 teaspoon salt in the Instant Pot.
Add the 6 chicken thighs or drumsticks and stir to coat.
Press Saute and reduce the sauce until thickened, about 5 to 7 minutes. Use a splatter screen if necessary, to prevent splatters.
Grill chicken for just enough time to get sear marks, and to give it a grilled look and flavor, about 2 minutes per side. You can either baste each side while you grill, or coat the chicken in the sauce before placing on the grill.
Serve with peach mango salsa or fried plantains, and beans and rice. Serve remaining sauce on the side.
Oven
Preheat the oven to 400 degrees Fahrenheit (204 degrees Celsius).
Line a baking sheet with aluminum foil and spray it with oil.
Stir together ketchup, brown sugar, red wine vinegar, soy sauce, Pickapeppa sauce, Jamaican jerk seasoning, and salt in a small saucepan. Cook over medium heat for 10 minutes. Reserve half the sauce for serving.
Coat the chicken with the remaining sauce and arrange on prepared baking sheet. Bake for 50 to 60 minutes, or until the chicken is tender.
Serve with peach salsa or fried plantains, and beans and rice. Serve remaining sauce on the side.