Pat the chicken breast dry with paper towels and toss in a bowl with the arrowroot starch, 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 pan in a single layer and sear for 3-4 minutes per side until golden brown and cooked through, then transfer to a plate.
In the same skillet, add the broccoli florets and sliced red bell pepper with a splash of water, covering for 2 minutes to steam-sauté until vibrant.
While the vegetables cook, whisk together the raw honey, tamari, toasted sesame oil, minced garlic, and fresh ginger in a small bowl.
Remove the lid from the skillet, return the chicken to the pan, and pour the honey-garlic sauce over the mixture.
Stir constantly for 1-2 minutes until the sauce bubbles and becomes a thick, glossy glaze that coats every piece.
Serve the stir-fry immediately over the warm cooked white rice.