Polycarbonate and acrylic can be glued together, but certain things need to be taken care of. The best glue for bonding them together is either Gorilla glue or Superglue. Similar guidelines mentioned above must be followed in order to join polycarbonate and acrylic sheets perfectly. Take a note, always use gorilla glue and Superglue in well-ventilated areas because their fumes can be toxic to health if inhaled in large amounts.