Roll out a piece of the blue taffy on parchment with a small rolling pin to about 1/4 inch thickness. (If the candy is too firm to roll, microwave it for 5 seconds and try again.) Cut out a fin shape using kitchen shears. Insert a toothpick into the flat edge of the fin to create an edible shark fin cocktail pick. Repeat with the remaining taffy. Thread a piece of pineapple followed by a maraschino cherry on additional toothpicks.
Combine the sugar, pineapple juice, rum, pina colada mix and blue raspberry lemonade soft drink mix in a large beverage dispenser. Mix well to combine. Pour in the lemon-lime soda.
Fill 12 small jars with ice cubes and pour in the punch. Top with a swirl of whipped cream and garnish with a candy shark fin pick in the center and a fruit pick on the side.