Cut the chicken breast into bite-sized pieces and toss them in a bowl with arrowroot powder, sea salt, and black pepper until evenly coated.
Heat the avocado oil in a large skillet or wok over medium-high heat until shimmering.
Add the chicken to the pan in a single layer and cook for 5-6 minutes, turning occasionally, until the edges are golden brown and crispy.
Toss in the broccoli florets, sliced red bell pepper, and snap peas, stir-frying for 3-4 minutes until the vegetables are tender-crisp.
In a small jar or bowl, whisk together the tamari, honey, grated ginger, and minced garlic.
Pour the sauce over the chicken and vegetables, stirring constantly for 1 minute as the glaze thickens and coats the ingredients.
Remove the pan from the heat and drizzle the toasted sesame oil over the mixture.
Serve the stir-fry immediately over the warm cooked brown rice and garnish with sesame seeds.