No, the Venetians blew up the Parthenon (although the Turks were using it at the time as an ammunition dump, which is why it exploded). I think you're thinking of the Great Sphinx, which Napoleon's soldiers used for target practice.
Also false. Napoleon shipped a lot of Egyptian artifacts back to France, and started a fashion craze, but his soldiers did not shoot at the sphinx. The nose was lost in antiquity, but British propaganda blamed it on French vandalism. In fact, he had an archaeologist with him that laid the foundation for much of Egyptology as we know it, including rescuing the Rosetta stone from being used as rubble fill for a fort. Then, the British seized it from the French and shipped it off to the British Museum, much as Lord Elgin did with the sculpture from the Parthenon.