Cook the Noodles: Bring a large pot of water to a boil. Add the egg noodles and cook according to package instructions until al dente. Drain and set aside.
Prepare the Chicken: In a large skillet or wok, heat 1 tablespoon of sesame oil over medium-high heat. Add the sliced chicken breast and stir-fry until golden brown and cooked through, about 5-7 minutes. Remove chicken from the skillet and set aside.
Sauté the Vegetables: In the same skillet, add an additional tablespoon of sesame oil. Add the broccoli, bell pepper, and carrot. Stir-fry for about 4-5 minutes until they are tender-crisp.
Make the Teriyaki Sauce: In a bowl, whisk together the soy sauce, honey, rice vinegar, ginger, garlic, and if desired, cornstarch for thickening.
Combine Ingredients: Return the cooked chicken to the skillet with the vegetables. Pour the teriyaki sauce over the chicken and vegetables. Toss everything to coat and let it simmer for another 2-3 minutes until the sauce slightly thickens.
Add Noodles: Add the cooked egg noodles to the skillet. Gently toss everything together until the noodles are well coated in the teriyaki sauce.
Finish & Serve: Stir in chopped green onions and remove from heat. Transfer to a serving dish and sprinkle with sesame seeds for garnish.
Notes
Optional cornstarch can be used for thickening the sauce.