Whisk soy sauce, honey, ginger, and garlic in a small bowl to create the base sauce.
In a separate small container, combine cornstarch and water to form a slurry.
Heat 1 tablespoon of oil in a wok or large skillet over high heat.
Add chicken pieces and stir-fry until golden brown and cooked through, then remove and set aside.
Add remaining 1 tablespoon of oil to the wok and stir-fry broccoli, bell pepper, and carrot for 3-4 minutes until tender-crisp.
Return the chicken to the wok and pour the sauce over the mixture.
Stir in the cornstarch slurry and cook for 1-2 minutes until the sauce has thickened and coated the ingredients.
Serve immediately over rice or noodles.