Heat broiler; set rack 4 inches from heat. Line a rimmed baking sheet with foil. Rub pork with oil; season with salt and pepper. Broil 10 minutes.
Meanwhile, in a small saucepan, whisk together jam and mustard. Cook over medium heat until jam melts, 3 to 4 minutes; remove from heat. Transfer half to a small bowl for brushing. Cover pan to keep remaining sauce warm.
Remove pork from broiler; brush with reserved sauce. Continue broiling until pork is blackened in spots and registers 150 degrees on an instant-read thermometer, 5 to 10 minutes more.
Cover pork loosely with foil; let rest 5 minutes before slicing. Serve drizzled with warm sauce.