The pilot said he had tried to start the airplane's engine, but the battery seemed weak. He decided to pull the propeller through by hand a revolution or two to get more oil/lubricant to the cylinders, rings, and valve stems. He explained to his non-pilot passenger that he was not going to start the engine, but mechanically lubricate it for an easier start. The pilot stated that he turned the master off, and he believed that he turned the magnetos off. He did not set the parking brake or block the tires. After the propeller was turned 1 to 1.5 revolutions, the engine started. The airplane lurched forward and the pilot was unable to get into it. The airplane crossed a taxiway and a runway before it encountered soft earth and nosed over inverted. The engine was pushed aft, wrinkling the fuselage, the right wing lift strut was bent, the right wing displayed wrinkles, and the aft section of the fuselage was bent and wrinkled.