In a mixing bowl, combine ketchup, brown sugar, red wine vinegar, soy sauce, Pickapeppa sauce, jerk seasoning, and salt to make the marinade.
Coat the chicken thighs or drumsticks evenly with the marinade and let them sit for at least 10 minutes (or longer for deeper flavor).
Set the Instant Pot to Sauté mode and lightly brown the chicken for 2-3 minutes per side to enhance the flavor.
Pour the remaining marinade over the chicken, close the lid, and set the Instant Pot to Pressure Cook (High) for 15 minutes.
Allow a natural release for 5 minutes, then do a quick release.
Open the lid, stir the chicken in the sauce, and let it thicken on Sauté mode for 2-3 minutes, if needed.
Enjoy your juicy, spicy, and sweet Instant Pot Jerk Chicken!