During final approach, the airplane touched down about five feet short of the runway. The pilot reported that during final approach, about 30 to 40 feet above the ground, a high rate of descent occurred. He stated that he initiated a go around, but the left main gear touched down. The pilot stated that once the gear made contact with the ground, he decided to land the airplane. He stated that the airplane bounced up on the runway and landed hard pushing the left main gear aft and through the fuselage. The airplane skid to the left and departed the runway.