Cook the egg noodles according to package instructions. Drain and set aside.
In a large skillet or wok, heat the vegetable oil over medium-high heat. Add the chicken pieces and cook until browned and cooked through, about 5-7 minutes.
Add the broccoli, bell pepper, snap peas, and garlic to the skillet. Stir-fry for about 3-4 minutes until the vegetables are tender-crisp.
In a small bowl, whisk together the soy sauce, teriyaki sauce, honey, and sesame oil. Pour the sauce over the chicken and vegetables in the skillet.
Add the cooked egg noodles to the skillet and toss everything together until well combined and heated through, about 2-3 minutes.
Serve hot, garnished with sesame seeds and sliced green onions if desired.