Dice the chicken breast into 1-inch cubes 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 honey, tamari, minced garlic, grated ginger, and sesame oil to create the glaze.
Heat the olive 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 5-6 minutes, turning occasionally, until golden brown and crispy.
Toss in the broccoli florets, sliced red bell pepper, and sugar snap peas, stir-frying for 3-4 minutes until the vegetables are bright and tender-crisp.
Pour the honey-garlic sauce over the chicken and vegetables, stirring constantly for 1-2 minutes until the sauce thickens into a glossy glaze.