Drain pineapple, reserving juice; set pineapple aside. Combine pineapple juice, honey, and next 5 ingredients (honey through gingerroot) in a bowl; stir well. Combine the mushrooms and green onions in a small bowl; toss well.
Cut 8 (15-inch) squares of parchment paper. Fold each square in half; open each, and divide pineapple chunks and shrimp evenly among squares, near the fold. Top each serving with 1/4 cup mushroom mixture. Drizzle 1 teaspoon pineapple juice mixture over each serving; discard remaining juice mixture.
Fold paper, and seal edges with narrow folds; place the packets on baking sheets. Bake at 400° for 10 minutes or until puffed and lightly browned. Place packets on individual serving plates, and cut open; serve immediately.