In a small bowl, whisk together the coconut aminos, honey, rice vinegar, grated ginger, minced garlic, and arrowroot powder until the mixture is smooth.
Heat the sesame oil in a large non-stick skillet or wok over medium-high heat until it begins to shimmer.
Add the diced chicken breast to the skillet, seasoning it with sea salt and black pepper, and sauté until the pieces are golden brown and fully cooked through.
Transfer the cooked chicken to a clean plate and set it aside for a moment.
In the same skillet, add the red and green bell peppers, broccoli florets, and pineapple chunks, stir-frying for 3 to 4 minutes until the vegetables are tender-crisp.
Return the chicken to the skillet and pour the prepared sauce over the entire chicken and vegetable mixture.
Toss everything together constantly for 1 to 2 minutes until the sauce has thickened into a glossy glaze that coats every ingredient evenly.
Serve the sweet and sour stir-fry immediately over a base of warm, cooked brown rice.