Cut the chicken breast into bite-sized pieces and toss in a bowl with arrowroot powder, sea salt, and black pepper until evenly coated.
In a small jar or bowl, whisk together the raw honey, tamari, minced garlic, and grated ginger to create the stir-fry sauce.
Heat the sesame oil in a large skillet or wok over medium-high heat.
Add the chicken to the hot skillet and cook for 5-6 minutes, turning occasionally until the edges are golden and crispy.
Add the broccoli florets, sliced red bell pepper, and snap peas to the skillet, stir-frying for another 3-4 minutes until the vegetables are tender-crisp.
Pour the honey-garlic sauce over the chicken and vegetables, tossing constantly for 1 minute until the sauce thickens and glazes the ingredients.
Serve the stir-fry immediately over the warm cooked brown rice.