Slice the boneless, skinless chicken breasts into thin strips and set aside.
In a small bowl, combine soy sauce, cornstarch, honey, and sesame oil. Stir well and set aside.
Heat the wok or frying pan over medium-high heat and add 2 tablespoons of vegetable oil. Allow the oil to heat for about 1 minute.
Add the sliced chicken to the hot oil and stir-fry for 5-7 minutes until cooked through and no longer pink. Remove the chicken from the wok and set aside.
In the same wok, add minced garlic and ginger, followed by sliced bell peppers, broccoli florets, and snap peas. Stir-fry for about 4-5 minutes until vegetables are tender but still crisp.
Return the cooked chicken to the wok. Pour the sauce mixture over the chicken and vegetables, stirring well to coat everything evenly. Cook for an additional 2-3 minutes until the sauce thickens.
Spoon the Chicken Stir-Fry over cooked rice if desired and enjoy immediately.