In a small bowl, whisk together the coconut aminos, honey, minced garlic, grated ginger, and arrowroot powder to create the teriyaki sauce base.
Cut the chicken breast into 1-inch bite-sized pieces and season with sea salt and black pepper.
Heat the sesame oil in a large skillet or wok over medium-high heat until shimmering.
Add the chicken to the skillet and cook for 5-6 minutes until golden brown and cooked through, then remove and set aside.
In the same skillet, add the broccoli florets and sliced red bell pepper with a splash of water, covering for 2 minutes to steam-tenderize.
Remove the lid and sauté the vegetables for another 2 minutes until the edges are slightly charred and crisp.
Return the chicken to the pan and pour the teriyaki sauce over the mixture, stirring constantly for 1 minute until the sauce thickens into a glossy glaze.
Serve the stir-fry immediately over the warm brown rice and garnish with sliced green onions.