In a small bowl, whisk together the soy sauce, oyster sauce, honey, sesame oil, and cornstarch until smooth. Set the sauce aside.
Heat 1 tablespoon vegetable oil in a large wok or skillet over high heat. Add the shrimp in a single layer and cook for 1 to 2 minutes per side until pink and curled. Transfer to a plate.
Add the remaining 1 tablespoon vegetable oil to the wok. Toss in the broccoli florets, sliced red bell pepper, and snap peas. Stir-fry for 3 to 4 minutes until the vegetables are crisp-tender and have some color.
Add the minced garlic and grated ginger to the vegetables. Stir-fry for 30 seconds until fragrant.
Return the shrimp to the wok and pour the sauce over everything. Toss to coat and cook for 1 to 2 minutes until the sauce thickens and glazes the shrimp and vegetables.
Serve over jasmine rice and garnish with sliced green onions and sesame seeds.