Heat 1 tablespoon of vegetable oil in a large skillet or wok over medium-high heat. Add the shrimp and cook for 2-3 minutes until they turn pink and opaque. Remove the shrimp from the skillet and set aside.
In the same skillet, add the remaining tablespoon of vegetable oil. Add the sliced bell peppers, broccoli, and snap peas. Stir-fry for about 5 minutes until the vegetables are tender-crisp.
Add the minced garlic and ginger to the skillet, stirring constantly for about 30 seconds until fragrant.
Pour in the soy sauce, honey, and sesame oil, stirring to combine.
Return the cooked shrimp to the skillet. Add the cornstarch mixture and stir well to coat everything. Cook for an additional 2-3 minutes until the sauce thickens slightly. Season with salt and pepper to taste.
Serve the stir-fry over cooked rice or noodles.