Prepare the Sauce: In a small bowl, whisk together the soy sauce, cornstarch, honey, and rice vinegar until smooth. Set aside.
Cook the Chicken: Heat 1 tablespoon of vegetable oil in a large skillet or wok over medium-high heat. Add the chicken pieces and cook until they're browned and cooked through (about 5-7 minutes). Remove the chicken from the skillet and set aside.
Stir-Fry the Vegetables: Add the remaining 1 tablespoon of vegetable oil to the skillet. Add the broccoli, bell peppers, and carrots. Stir-fry for about 3-4 minutes, until they start to soften but are still crisp.
Add Aromatics: Add the minced garlic and ginger to the skillet. Stir-fry for about 30 seconds, until fragrant.
Add the Chicken & Snow Peas: Return the cooked chicken to the skillet. Add the snow peas. Stir everything together.
Pour in the Sauce: Give the sauce another quick whisk, then pour it over the chicken and vegetables. Stir continuously until the sauce thickens and coats everything evenly (about 1-2 minutes).
Add Sesame Oil: Stir in the sesame oil.
Garnish and Serve: Garnish with sliced green onions. Serve immediately over rice or noodles, or enjoy it on its own!