Whisk soy sauce, honey, sesame oil, and cornstarch in a small bowl to create the sauce.
Heat vegetable oil in a wok or large skillet over medium-high heat.
Add shrimp and cook for 2-3 minutes until pink and opaque then remove and set aside.
Add broccoli and bell pepper to the same skillet and stir-fry for 4-5 minutes until tender-crisp.
Stir in ginger and garlic and cook for 1 minute until fragrant.
Return shrimp to the skillet and pour in the sauce mixture.
Toss constantly for 1-2 minutes until the sauce thickens and coats all ingredients.
Garnish with green onions and sesame seeds before serving.