To the instant pot, add the sauce ingredients (vegetable oil, fish sauce, soy sauce, rice wine vinegar, sriracha, brown sugar, garlic, and peanut butter). Give everything a whisk, then add the water and whisk again.
Add the chicken, mix it with the sauce, then place the noodles on top of the chicken.
Secure the lid of the Instant Pot and make sure that the vent is in SEALING position. Select the PRESSURE COOK/MANUAL setting and set the cooking time for 3 minutes at high pressure. The Instant Pot will take around 10 minutes to come to pressure and start cooking. When the cooking program ends, quickly release the steam and remove the lid.
Give everything a good stir (the noodles will absorb most of the sauce), then quickly add the vegetables (carrot, bell peppers, and bean sprouts), and cover with the lid. Let the vegetables sit for 5 minutes with the lid on, this will help them soften a little but still stay crunchy and nice, and it will help the noodles absorb sauce/flavor.
Remove the lid, give everything a stir, and serve in bowls, top with chopped green onion, chopped cilantro, chopped peanuts, and lime wedges (for squeezing over the dish).