Cook rice according to package instructions, fluff, and keep warm

In a bowl, mix soy sauce, honey, brown sugar, vinegar, garlic, and ginger until combined

Cut chicken into even bite-size pieces and pat dry

Heat oil in a pan over medium heat and add chicken in a single layer

Cook chicken without moving for a few minutes, then stir and cook until fully done

Add broccoli and carrots, stir gently, and cook until slightly tender

Pour sauce into the pan and mix to coat chicken and vegetables evenly

In a small bowl, mix cornstarch and water until smooth, then add to the pan

Stir continuously until the sauce thickens and becomes glossy

Reduce heat and let everything simmer for a few minutes

Serve over warm rice and add toppings if desired