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.
Heat 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 5-6 minutes, turning occasionally, until golden brown and crispy.
Remove the chicken from the pan and set aside; add the broccoli florets and sliced bell peppers to the same skillet with a tablespoon of water.
Cover and steam for 2 minutes, then remove the lid and stir-fry until the water evaporates and veggies are tender-crisp.
Stir in the minced garlic and grated ginger, cooking for 30-60 seconds until fragrant.
In a small jar, whisk together the honey and tamari, then pour it into the skillet along with the cooked chicken.
Toss everything together for 1-2 minutes until the sauce bubbles and creates a thick, glossy glaze.
Garnish with sesame seeds and serve immediately.