Preheat the grill to medium-high heat. If using a grill pan, heat it over medium heat.
In a mixing bowl, coat the chicken breasts with olive oil, salt, and pepper. Brush the chicken generously with honey BBQ sauce.
For the veggie medley, in another bowl, toss the sliced vegetables with olive oil, garlic powder, dried basil, salt, and pepper until evenly coated.
Place the chicken on the grill and cook for 6-7 minutes on each side, brushing with extra honey BBQ sauce as needed, until the chicken is cooked through and has nice grill marks.
At the same time, place the vegetables on the grill. Grill for about 8-10 minutes, turning occasionally, until they are tender and slightly charred.
Once the chicken and vegetables are cooked, remove them from the grill. Let the chicken rest for a few minutes before slicing.
Serve the sliced honey BBQ chicken alongside the grilled veggie medley. Enjoy!