Pour chicken stock into the liner of your electric pressure cooker.
Layer the chicken on top and sprinkle with onions.
In a small bowl, whisk together the brown sugar, worcestershire sauce, liquid smoke, onion powder, garlic powder, paprika, and 1/2 teaspoon salt. Pour over the chicken.
Close the lid on the instant pot and set the pressure release valve to sealing.
Press the manual or pressure cook button and set to 15 minutes on high pressure.
Allow the instant pot to naturally release pressure before removing lid.
Meanwhile, rub clean potatoes with olive oil and coat with remaining 1 teaspoon salt.
Place potatoes inside air fryer or a traditional oven.
Cook at 400 degrees for 50 minutes, using tongs to flip halfway. Potatoes will be fork tender when ready to eat.
When the instant pot cooking cycle is complete, remove the chicken from the juices and shred with two forks.
Stir in barbecue sauce.
Serve barbecue chicken over baked potatoes topped and with cheddar cheese.