In a large skillet or wok, heat the vegetable oil over medium-high heat. Add the chicken pieces and cook until browned and cooked through, about 5-7 minutes. Remove the chicken from the skillet and set aside.
In the same skillet, add the bell pepper, broccoli, and snap peas. Stir-fry the vegetables for about 3-4 minutes until they are tender-crisp.
Add the minced garlic and grated ginger to the skillet, stirring for about 30 seconds until fragrant.
In a small bowl, whisk together the orange juice, soy sauce, honey, cornstarch, and water until smooth.
Return the cooked chicken to the skillet and pour the orange sauce over the chicken and vegetables. Stir well to combine and cook for an additional 2-3 minutes until the sauce thickens.
Drizzle the sesame oil over the stir-fry and toss to coat.
Serve the orange chicken stir-fry over cooked rice or noodles, garnished with chopped green onions and sesame seeds.