In a small bowl, whisk together the coconut aminos, rice vinegar, honey, tomato paste, toasted sesame oil, minced ginger, and minced garlic to create the sauce.
Pat the chicken breast pieces dry with a paper towel and toss them in a bowl with the arrowroot powder, sea salt, and black pepper until each piece is evenly coated.
Heat the avocado oil in a large skillet or wok over medium-high heat and sear the chicken until it is golden-brown on all sides and cooked through.
Remove the chicken from the pan and set it aside, then add the bell pepper, broccoli, and sugar snap peas to the same skillet, sautéing for 3-4 minutes until tender-crisp.
Return the cooked chicken to the skillet and pour the prepared sauce over the mixture, stirring constantly for 1-2 minutes until the glaze thickens and coats the ingredients.
Serve the crispy chicken and vegetable stir-fry immediately over the warm cooked brown rice.