In blender container or food processor bowl with metal blade, combine half each of the pineapple, cream of coconut and orange juice; blend until smooth.
Pour into 1 1/2-quart nonmetal freezer container.
Repeat with remaining pineapple, cream of coconut and orange juice.
Cover container; freeze 4 to 6 hours or until icy, stirring twice.
To serve, spoon 1/2 cup frozen mixture into each glass.
Add 1/2 cup carbonated beverage to each glass; stir gently.