Combine ketchup, brown sugar, red wine vinegar, soy sauce, Pickapeppa sauce, Jamaican jerk seasoning, and salt in the Instant Pot.
Add chicken pieces, stirring to coat.
Close the lid and pressure cook on high for 10 minutes.
Once done, perform a quick release and carefully open the pot.
Remove the chicken and set it aside.
Press the saute function and let the sauce reduce for 5-7 minutes, using a splatter screen if needed.
Grill the chicken for about 2 minutes per side, just enough to create sear marks and a grilled flavor.
Optionally, baste the chicken while grilling or coat it in the sauce beforehand.
Serve with peach salsa, fried plantains, and beans and rice.
Pour the remaining sauce on the side.