Heat the vegetable oil in a large skillet or wok over medium-high heat.
Add the chicken pieces and season with salt and pepper. Cook for about 5-7 minutes, or until the chicken is browned and cooked through.
Add the sliced bell pepper, broccoli florets, and snap peas to the skillet. Stir-fry for about 3-4 minutes until the vegetables are tender-crisp.
Stir in the minced garlic and ginger, cooking for an additional 1 minute until fragrant.
In a small bowl, mix the soy sauce, honey, cornstarch, and water until smooth. Pour this sauce over the chicken and vegetables in the skillet.
Cook for another 2-3 minutes, stirring constantly, until the sauce thickens and coats the chicken and vegetables evenly.
Serve hot over cooked rice or noodles.