Pat the chicken breast dry with paper towels and cut into bite-sized cubes.
In a medium bowl, toss the chicken cubes 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 skillet in a single layer and cook for 6-8 minutes, turning occasionally, until golden brown and crispy on all sides.
Remove the chicken from the pan and set aside; add the broccoli, sliced bell peppers, and snap peas to the same pan with a tablespoon of water.
Cover and steam-sauté the vegetables for 3-4 minutes until they are vibrant green and tender-crisp.
While the vegetables cook, whisk together the honey, tamari, sesame oil, minced garlic, and grated ginger in a small bowl.
Return the chicken to the skillet, pour the honey-garlic sauce over the mixture, and toss for 1-2 minutes until the glaze is glossy and thickened.