Whisk together soy sauce, water, honey, brown sugar, rice vinegar, ginger, and garlic in a small mixing bowl.
Heat 1 tablespoon of oil in a wok or large skillet over medium-high heat.
Add chicken and cook until internal temperature reaches 165°F (approximately 5 to 7 minutes); remove chicken from pan and set aside.
Add the remaining oil to the pan and stir-fry broccoli, bell peppers, and carrots for 4 minutes until tender-crisp.
Return the cooked chicken to the pan and pour the prepared sauce over the ingredients.
Stir in the cornstarch slurry and simmer for 1 to 2 minutes until the glaze is thickened and translucent.
Remove from heat and garnish with sesame seeds and sliced green onions.