In a small bowl, whisk together soy sauce, honey, ginger, garlic, cornstarch, and water to create the stir-fry sauce; set aside.
Heat 1 tablespoon of vegetable oil in a large wok or skillet over medium-high heat until shimmering.
Add chicken strips and cook until browned and internal temperature reaches 165°F (74°C), approximately 5-6 minutes; remove chicken from pan and set aside.
Add the remaining tablespoon of oil to the pan; add broccoli, bell pepper, and carrots.
Stir-fry vegetables for 3-4 minutes until crisp-tender.
Return the cooked chicken to the pan and pour the prepared sauce over the mixture.
Toss constantly for 1-2 minutes until the sauce thickens and coats all ingredients evenly.
Drizzle with sesame oil and serve immediately over rice or noodles.