Soak wooden skewers in water for at least 30 minutes.
Cut chicken and vegetables into even pieces.
Thread chicken and vegetables onto skewers, alternating for color.
Preheat the grill to medium-high heat.
Brush skewers with olive oil and season with salt and pepper.
Place skewers on the grill and cook for 5-7 minutes per side.
Baste with marinade during cooking for extra flavor.
Check for doneness; chicken should reach 165°F.
Remove from grill and let rest for a few minutes.
Serve hot with your choice of sides.