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 sliced bell peppers and snap peas. Stir-fry for about 3-4 minutes until the vegetables are tender-crisp.
Add the minced garlic and ginger to the skillet and stir-fry for an additional 1 minute until fragrant.
In a small bowl, whisk together the soy sauce, honey, lemon juice, and lemon zest. Pour this mixture into the skillet and bring to a simmer.
Stir in the cornstarch mixture and cook for another 1-2 minutes until the sauce thickens.
Return the cooked chicken to the skillet and toss everything together until the chicken is coated in the sauce.
Serve the stir-fry over cooked rice or noodles and garnish with chopped green onions and sesame seeds.