Pat the chicken breast dry with paper towels and cut into bite-sized pieces.
Place the chicken in a bowl and toss with arrowroot powder, sea salt, and black pepper until evenly coated.
Heat the toasted sesame oil in a large skillet or wok over medium-high heat until shimmering.
Add the chicken to the skillet in a single layer and sear until golden brown and cooked through, approximately 5-6 minutes.
Add the broccoli florets and sliced red bell pepper to the pan, sautéing for 3-4 minutes until the vegetables are tender-crisp.
Stir in the minced garlic and grated ginger, cooking for 60 seconds until fragrant.
In a small bowl, whisk together the honey and tamari, then pour the mixture over the chicken and vegetables.
Stir constantly for 1-2 minutes until the sauce thickens into a glossy, sticky glaze.
Serve the stir-fry immediately over the warm cooked brown rice.