Combine all marinade ingredients in large resealable plastic food bag. Reserve 2 tablespoons marinade; set aside. Add chicken pieces. Tightly seal bag. Turn bag several times to coat chicken well. Place in 13x9-inch pan. Refrigerate, turning occasionally, at least 3 hours or overnight.
Heat 1 side of gas grill on medium or charcoal grill until coals are ash white. Remove chicken from marinade with slotted spoon; discard marinade.
To assemble kabobs, alternately thread chicken, pineapple, tomatoes, green pepper and zucchini onto skewers.
Place kabobs onto grill. Grill, turning and brushing occasionally with reserved marinade, until chicken reaches at least 170°F or until juices run clear when pierced with fork (15 to 20 minutes).