PREHEAT barbecue to medium-high heat. Using four long skewers, place two skewers, side-by-side on clean work surface.
THREAD shrimp onto each set of two parallel skewers alternately with the pineapple, peppers and onions. (You will have two kabobs.) Mix barbecue sauce and ginger until well blended.
GRILL kabobs 4 to 6 min. or until shrimp turn pink, turning occasionally and brushing occasionally with the barbecue sauce mixture.