Pat the chicken breast dry with a paper towel and cut into 1-inch bite-sized cubes.
In a small bowl, toss the chicken with sea salt, black pepper, and arrowroot powder until evenly coated.
Whisk together the honey, tamari, minced garlic, and grated ginger in a separate small ramekin to create the glaze.
Heat the avocado oil in a large skillet over medium-high heat until shimmering.
Add the chicken to the skillet in a single layer and sear for 3-4 minutes per side until golden brown and cooked through.
While the chicken cooks, steam the broccoli florets and sliced bell peppers until tender-crisp.
Pour the honey-garlic glaze and sesame oil into the skillet with the chicken, tossing constantly for 1 minute until the sauce thickens and coats the meat.
Assemble the bowls by layering the cooked brown rice, steamed vegetables, and the sticky honey-garlic chicken.