In a small bowl, whisk together the coconut aminos, honey, grated fresh ginger, and minced garlic.
In a separate small ramekin, mix the arrowroot powder with water to create a smooth slurry.
Pat the chicken breast dry with paper towels and season both sides with sea salt and black pepper.
Heat the toasted sesame oil in a large skillet or wok over medium-high heat.
Add the chicken to the skillet and sear for 3-4 minutes per side until golden brown and cooked through, then remove and set aside.
Add the broccoli florets, sliced red bell pepper, and sugar snap peas to the same skillet, stir-frying for 4-5 minutes until tender-crisp.
Slice the cooked chicken into bite-sized strips and return it to the skillet with the vegetables.
Pour the sauce mixture over the chicken and vegetables, followed by the arrowroot slurry.
Toss everything together for 1-2 minutes until the sauce thickens and coats the ingredients in a glossy glaze.
Serve the stir-fry immediately over a bed of warm cooked brown rice.