In a large bowl, combine the sliced chicken, cornstarch, and 1 tablespoon of soy sauce. Mix well until the chicken is coated and set aside for 15 minutes to marinate.
Heat 1 tablespoon of sesame oil in a large pan or wok over medium-high heat. Add the marinated chicken and stir-fry for about 4-5 minutes until it is cooked through and golden brown. Remove the chicken from the pan and set aside.
In the same pan, add the remaining tablespoon of sesame oil. Add the garlic and ginger, sautéing for about 30 seconds until fragrant.
Add the broccoli, bell pepper, and carrot to the pan. Stir-fry for about 3-4 minutes until the vegetables are tender-crisp.
Return the cooked chicken to the pan. In a small bowl, mix the remaining soy sauce, honey, and chicken broth. Pour this mixture over the chicken and vegetables. Stir to combine and let it cook for an additional 1-2 minutes to thicken the sauce.
Once everything is well coated and heated through, remove from heat.
Serve hot, sprinkled with sesame seeds and sliced green onions for garnish.
Notes
For a gluten-free option, use tamari instead of soy sauce.