In a small bowl, combine the paprika, brown sugar, chili powder, salt, cumin, pepper, ground mustard, garlic powder, onion powder and cayenne. Stir to combine and set aside.
Place chicken wings in a large bowl. Add vegetable oil and toss to coat. Sprinkle seasoning over the top of the wings and stir until all the wings are coated.
Place the trivet in the bowl of the Instant Pot and add one cup of water. Place the wings on top of the trivet, making sure to keep the wings from falling into the water.
Place the lid on top of the Instant Pot and seal the vent. Set the pot to pressure cook for 12 minutes.
When the cook time is up, do a natural release for 5 minutes, the do a quick release to remove remaining pressure.
Remove the wings from the Instant Pot and place them on a baking sheet. Coat the wings in BBQ sauce and place them under the broiler for 5 minutes before serving.