Thread cut pepper pieces and pineapple pieces onto skewers, alternating peppers and pineapple.
Thread marinated chicken pieces onto skewers. Discard marinade.
Place skewers on a hot grill and turn skewers every 1-2 minutes. Brush the chicken skewers with the glaze after every turn.
Remove veggie skewers from the grill when the peppers are softened and develop some browning.
Lay scallions directly on grill grates and turn every minute, with tongs, until browned.
Remove chicken skewers from the grill when chicken is firm to the touch and reaches an internal temperature of 165 degrees.
Pull veggies and pineapple off skewers and pile onto a large platter.
Remove chicken pieces from skewers and lay pieces on top of veggies and pineapple. Drizzle with any remaining glaze.