In a medium bowl, combine the diced chicken, soy sauce, and sesame oil. Let it marinate for at least 15 minutes while you prepare the vegetables.
Heat a large skillet or wok over medium-high heat. Add the marinated chicken and cook for about 5-7 minutes, or until it is browned and cooked through. Remove the chicken from the skillet and set aside.
In the same skillet, add the grated ginger and minced garlic, sautéing for about 30 seconds until fragrant.
Toss in the broccoli, carrot, and red bell pepper. Stir-fry the vegetables for about 4-5 minutes until they are tender but still crisp.
Return the cooked chicken to the skillet with the vegetables. Pour in the rice vinegar and honey, stirring to combine everything evenly. Allow it to cook for an additional 2-3 minutes.
Prepare bowls by placing a serving of cooked jasmine rice at the bottom. Top with the chicken and vegetable mixture.
Garnish with chopped green onions and a sprinkle of sesame seeds before serving.