Place a 6-qt Instant Pot on Saute setting. Add oil. When oil is hot, add pork, bell peppers, and onion and cook 3 to 4 Minutes until the pork is browned and the peppers are beginning to soften, stirring frequently. Stir in next nine ingredients (through ginger). Add broken noodles to pot and stir to ensure all pasta is covered with cooking liquid (this will help to keep noodles from sticking together). Lock lid in place. Set Instant Pot on High Pressure to cook 5 Minutes. Release pressure quickly. Open lid carefully.
Stir in carrots and sesame oil. Cover; let stand 5 Minutes. Serve topped with peanuts and green onions.
Notes
Tip: For a more authentic flavor, replace the balsamic vinegar with an equal amount of Chinese black vinegar.