In a medium bowl, whisk together soy sauce, honey, rice vinegar, sesame oil, garlic, and ginger. Set aside.
In a large skillet over medium-high heat, add the chicken thighs. Cook for about 5-7 minutes on each side until browned and cooked through. Remove from the skillet and set aside.
In the same skillet, add the broccoli, red bell pepper, and carrot. Stir-fry for about 3-4 minutes until the vegetables are tender-crisp.
Return the chicken to the skillet and pour the sauce over the chicken and vegetables. Cook for an additional 3-4 minutes, stirring frequently, until the sauce thickens and coats the chicken and veggies.
Serve the sticky chicken and vegetables over a bed of brown rice. Garnish with sliced green onions and sesame seeds.