Pat the chicken dry, and season with salt, pepper, and paprika.
Turn your instant pot on to “saute” and add vegetable oil. When oil is hot, add chicken, skin side down, and cook about 6-7 minutes, until chicken is golden brown. Work in batches, two at a time if needed to get a good sear.
Transfer to a plate. Set aside.
Add carrots, onion, and ½ teaspoon salt to the pot, and saute for 5 minutes, on saute mode.
Add rice, garlic, and butter, stir until butter is melted, and rice is coated.
Add chicken stock to the pot, use a wooden spoon to deglaze the pot, and scrape any browned bits off the bottom.
Add chicken and any accumulated juices back into the pot.
Lock lid into place, and set vent toggle to “sealing”
Cook on high pressure for 15 minutes.
When 15 minutes is up, quick release pressure, and remove lid.
Take chicken out of the pot, stir in peas, parsley, lemon juice, and parmesan cheese.
Let rice stand for 5 minutes, then fluff with a fork, and season to taste.
Serve with the chicken.