Combine honey, soy sauce, sesame oil, 1 teaspoon ginger, garlic, salt and pepper in a plastic sealed bag. Add chicken to bag and marinate for at least 1 hour or overnight.

Preheat oven to 425ºF.

Cover a rimmed pan with aluminum foil and coat with olive oil (or sesame oil).

Add carrots and chicken to pan and sprinkle with remaining 1/2 teaspoon ginger and sesame oil. Cook for about 25 minutes.

Add broccoli to pan, drizzle with sesame oil and cook for another 20 minutes or until chicken is cooked thoroughly and vegetables are tender.