In a small bowl, mix soy sauce, oyster sauce, honey, and the cornstarch slurry. Set aside.
Heat 1 tbsp oil in a large skillet or wok over medium-high heat. Add chicken and cook until golden and cooked through, about 4-5 minutes. Remove chicken and set aside.
Add remaining oil to the pan. Toss in broccoli, bell pepper, snap peas, and carrots. Stir fry for 3-4 minutes until crisp-tender.
Stir in garlic and ginger, cooking for 1 minute until fragrant.
Return chicken to the pan. Pour in the sauce, tossing everything together. Cook for another 2-3 minutes until the sauce thickens and coats everything nicely.