Dice the chicken breast into bite-sized pieces and season evenly with sea salt and black pepper.
In a small bowl, whisk together the tamari, honey, sesame oil, minced fresh ginger, and minced garlic to create the teriyaki glaze.
Heat the olive oil in a large skillet or wok over medium-high heat.
Add the chicken to the skillet and cook until golden brown and cooked through, approximately 5 to 7 minutes.
Remove the chicken from the pan and set aside; add the broccoli and bell peppers to the same skillet with a tablespoon of water.
Cover the skillet and steam the vegetables for 3 minutes until they are bright green and crisp-tender.
Return the chicken to the skillet, pour the teriyaki glaze over the mixture, and toss for 1 minute until the sauce is thickened and glossy.
Garnish with sesame seeds and serve immediately while hot.