In a small mixing bowl, whisk together the honey, soy sauce, minced garlic, and grated ginger until well combined.
In a separate small ramekin, stir the cornstarch and cold water together to create a smooth slurry.
Heat 1 tablespoon of olive oil in a large wok or non-stick skillet over medium-high heat.
Add the chicken cubes and cook for 5-7 minutes, stirring occasionally, until golden brown and cooked to an internal temperature of 165°F. Remove chicken from the pan and set aside.
Add the remaining 1 tablespoon of olive oil to the same pan. Add the broccoli and bell pepper, stir-frying for 3-4 minutes until tender-crisp.
Return the cooked chicken to the pan with the vegetables.
Pour the honey garlic sauce over the chicken and vegetables. Stir in the cornstarch slurry and sesame oil.
Simmer for 1-2 minutes, stirring constantly, until the sauce has thickened and coats the ingredients thoroughly.
Remove from heat and garnish with sesame seeds and sliced green onions before serving.