Ode to a Styrofoam Cup

IT WILL NEVER MAKE the Guinness Book of Records, or Ripley's Believe It or Not, but ask any ten AAs and at least nine of them will swear it can't be done. The problem: Can a styrofoam cup be turned completely inside-out during an AA meeting, without using special tools and without violating the integrity of said vessel--in other words, after the deed is done, can you then fill it with coffee and enjoy the bitter brew without fear of its dripping onto your white Calvin Kleins?