Cook the noodles according to the package instructions, drain, and rinse under cold water. Set aside.
Heat vegetable oil in a large skillet or wok over medium-high heat.
Add bell pepper, carrot, snap peas, and cabbage. Stir-fry for 3–4 minutes until crisp-tender.
In a small bowl, whisk together peanut butter, soy sauce, rice vinegar, honey, sesame oil, sriracha, garlic, ginger, and warm water until smooth. Adjust consistency with more water if needed.
Add the cooked noodles to the skillet with vegetables. Pour the peanut sauce over and toss until everything is evenly coated.
Remove from heat and stir in sliced green onions.
Transfer to serving bowls and garnish with chopped cilantro, toasted sesame seeds, and lime wedges.