Pat the chicken breast dry and cut into bite-sized pieces, then toss with arrowroot powder, sea salt, and black pepper until evenly coated.
Heat avocado oil in a large skillet or wok over medium-high heat.
Add the chicken to the pan and cook until golden brown and crispy on all sides, about 6-8 minutes.
Remove chicken from the pan and set aside; add bell peppers, snap peas, and pineapple to the same pan, stir-frying for 3-4 minutes until tender-crisp.
In a small bowl, whisk together coconut aminos, rice vinegar, honey, minced ginger, and garlic.
Return the chicken to the pan, pour the sauce over the mixture, and toss for 1 minute until the glaze thickens and coats everything beautifully.
Serve the stir-fry over the warm cooked brown rice.