Peel and devein shrimp, leaving tails intact, if desired. Thread shrimp and pineapple alternately onto 8 (12-inch) skewers; set aside.
Spoon apricot spread into a medium bowl; chop any large chunks of apricot, if desired. Add rice vinegar and next 3 ingredients, and stir well. Divide apricot mixture in half; reserve half of mixture.
Place kabobs on a broiler pan coated with cooking spray. Brush kabobs with apricot mixture; broil 3 minutes. Turn kabobs over, and brush with apricot mixture. Broil an additional 3 minutes or until done. Brush with reserved apricot mixture before serving.