Season pork with salt and pepper. Set your Instant Pot to sauté on More. When the display says Hot, add 1 tablespoon oil and heat until shimmering. Working in batches, add chops and cook, turning once, for 2 minutes per side or until browned on both sides, adding more oil as needed between batches. Using tongs, transfer chops to a plate as they are browned.
Stir broth into the pot and bring to a simmer, scraping up any browned bits from the bottom. Return chops and any accumulated juices to the pot. Press Cancel.
Close and lock the lid and turn the steam release handle to Sealing. Set your Instant Pot to pressure cook on High for 3 minutes.
When the cooking time is done, press Cancel and turn the steam release handle to Venting. When the float valve drops down, remove the lid. An instant-read thermometer inserted horizontally into the thickest part of a chop should register 145°F (63°C) and the pork should be no longer pink but still juicy. (If more cooking time is needed, continue pressure cooking on High for 1 minute.) Using tongs, transfer chops to a platter and tent with foil.
Set your Instant Pot to sauté on Normal. Add vinegar and cook, stirring occasionally, for 5 minutes or until liquid is reduced by half. Stir in figs, rosemary and honey; cook, stirring often, for 2 minutes or until sauce is reduced by half. Stir in butter until melted. Return chops and any accumulated juices to the pot and turn to coat in sauce.
Transfer chops to a serving platter and spoon sauce over top. Serve immediately.