Pat the chicken breast dry with paper towels and cut into 1-inch bite-sized pieces.
In a medium bowl, toss the chicken pieces with arrowroot powder, sea salt, and black pepper until each piece is evenly coated.
In a small glass jar or bowl, whisk together the honey, tamari, minced garlic, and grated ginger to create the stir-fry glaze.
Heat the olive oil in a large skillet or wok over medium-high heat until shimmering.
Add the chicken to the pan in a single layer and sear for 3-4 minutes per side until golden brown and crispy, then remove from the pan and set aside.
Add the broccoli florets and sliced bell peppers to the same pan with a splash of water, covering with a lid to steam for 2 minutes until tender-crisp.
Return the cooked chicken to the pan and pour the honey-garlic sauce over the chicken and vegetables.
Toss everything together for 1-2 minutes over medium heat until the sauce thickens into a glossy glaze that coats the ingredients.
Remove from the heat, drizzle with toasted sesame oil, and garnish with sesame seeds before serving hot.