In a small bowl, whisk together soy sauce, honey, rice vinegar, sesame oil, and cornstarch mixture; set aside.
Heat 2 tablespoons vegetable oil in a large wok or skillet over high heat until smoking hot.
Add bell pepper, broccoli, snap peas, and carrots, and stir-fry for 4-5 minutes until vegetables are crisp-tender, then remove to a plate.
Add remaining 1 tablespoon oil to the wok, then add garlic and ginger, cooking for 30 seconds until fragrant.
Add the rotisserie chicken and stir-fry for 2 minutes until heated through and slightly crispy on the edges.
Return vegetables to the wok, pour in the sauce, and toss everything together for 1-2 minutes until sauce thickens and coats everything evenly.
Garnish with green onions and sesame seeds, and serve immediately over rice.