In a small bowl, combine soy sauce, honey, chili paste, and arrowroot powder. Stir until smooth and set aside.
Heat half of the sesame oil in a large pan or wok over medium heat. Add chicken, garlic, and ginger. Cook for about 6 to 8 minutes, or until the chicken is fully cooked. Remove from the pan and set aside.
In the same pan, add the remaining sesame oil. Add bell pepper, green onions, and broccoli. Cook for about 5 minutes, or until the vegetables are tender but still slightly crisp.
Return the chicken to the pan. Pour in the sauce and stir well. Cook for 2 to 3 minutes, until the sauce slightly thickens and coats everything evenly. Turn off the heat and let it sit for a few minutes before serving.
Serve warm over brown rice. Top with crushed peanuts and extra chili sauce if more heat is preferred.