Pat the chicken breast dry with paper towels and cut into bite-sized pieces.
In a medium bowl, toss the chicken with arrowroot powder, sea salt, and black pepper until evenly coated.
In a small jar or bowl, whisk together the honey, tamari, minced garlic, and grated ginger to create the glaze.
Heat the avocado oil in a large skillet or wok over medium-high heat.
Add the chicken to the skillet in a single layer and sear until golden brown and cooked through, about 5-6 minutes, then remove and set aside.
In the same skillet, add the broccoli, snap peas, and sliced red bell pepper with a tablespoon of water; cover and steam for 2 minutes.
Remove the lid and sauté the vegetables for another 2 minutes until tender-crisp.
Return the chicken to the pan and pour the honey-garlic sauce over the mixture.
Toss everything together for 1 minute until the sauce thickens and becomes glossy.
Remove from heat, drizzle with toasted sesame oil, and serve over the warm brown rice.