Pat the chicken breast dry with a paper towel and cut into bite-sized pieces.
In a medium bowl, toss the chicken with arrowroot powder, sea salt, and black pepper until evenly coated.
Heat the toasted sesame oil in a large skillet or wok over medium-high heat.
Add the chicken to the pan and sear for 5-6 minutes, turning occasionally until golden brown and cooked through; remove chicken and set aside.
Add the red bell pepper, broccoli florets, and snap peas to the same pan, stir-frying for 3-4 minutes until tender-crisp.
In a small jar, whisk together the coconut aminos, rice vinegar, raw honey, and grated fresh ginger.
Return the chicken to the pan and pour the sauce over the mixture, tossing constantly for 1 minute until the sauce thickens and becomes glossy.
Serve the stir-fry immediately over the warm cooked brown rice.