In a small bowl, whisk together the tamari, honey, minced ginger, minced garlic, arrowroot starch, and water until smooth to create the teriyaki sauce.
Cut the chicken breast into bite-sized pieces and season evenly with sea salt and black pepper.
Heat the sesame oil in a large skillet or wok over medium-high heat until shimmering.
Add the chicken to the skillet and sear for 5-6 minutes, stirring occasionally, until golden brown and cooked through.
Add the broccoli florets, sliced red bell pepper, and snap peas to the pan, stir-frying for 3-4 minutes until the vegetables are vibrant and crisp-tender.
Pour the prepared teriyaki sauce over the chicken and vegetables, tossing constantly for 1 minute until the sauce thickens into a glossy glaze.
Serve the stir-fry immediately over the warm, fluffy brown rice.