Thinly slice the chicken against the grain into strips.
In a small bowl, whisk together soy sauce, sesame oil, honey, and minced garlic. Set aside.
In a large skillet or wok, heat a splash of oil over medium-high heat until shimmering.
Add chicken strips to the pan in a single layer. Sauté for about 5 minutes until golden brown and fully cooked.
Toss in broccoli florets and sliced bell peppers. Stir-fry for an additional 3-4 minutes until crisp-tender.
Drizzle the prepared sauce over everything in the pan and stir well to coat all ingredients evenly. Let simmer for another minute until heated through.