Heat vegetable oil in a large skillet or wok over medium-high heat.
Add sliced chicken and cook until lightly browned and cooked through.
Remove chicken from the pan and set aside.
In the same pan add broccoli, bell pepper, and carrot.
Stir fry the vegetables for about 3–4 minutes until slightly tender.
Add minced garlic and grated ginger and cook for 30 seconds.
In a small bowl mix soy sauce, honey, rice vinegar, sesame oil, cornstarch, and water.
Return the cooked chicken to the pan.
Pour the teriyaki sauce over the chicken and vegetables.
Stir everything together and cook for 2–3 minutes until the sauce thickens.
Sprinkle sesame seeds and green onions on top before serving.