Heat 1 tablespoon olive oil in cooker or skillet. Add chicken and stir-fry 5–7 min until cooked through. Remove and set aside.
Add remaining olive oil. Stir in broccoli, bell peppers, and carrots. Cook 4–5 minutes until tender-crisp.
Add garlic and ginger. Stir and cook another 1–2 minutes until fragrant.
Return chicken to pan. Stir everything together and cook 2–3 more minutes.
In small bowl, mix cornstarch, broth, soy sauce, and honey. Stir into pan and bring to boil for 1 minute.
Allow sauce to thicken while stirring gently.
Top with sesame seeds before serving.
Serve hot over rice or noodles if desired.
Notes
Refrigerate leftovers for up to 5 days. For freezing, separate chicken and vegetables and freeze flat in bags. Reheat gently with splash of broth or water.