In a mixing bowl, combine soy sauce, sesame oil, vegetable oil, garlic, ginger, honey, and black pepper. Add the chicken pieces and mix well. Let marinate for at least 15 minutes.

Preheat the grill to medium-high heat. Lightly oil the grill grates.

Place the marinated chicken on the grill and cook for about 5-7 minutes on each side, or until fully cooked. Add the sliced vegetables to the grill and cook until tender, about 5 minutes.

In a small bowl, whisk together soy sauce, rice vinegar, sesame oil, and sugar until well combined.

Serve the grilled chicken and vegetables hot with the dipping sauce on the side.