The pilot reported that just before touchdown a gust of wind struck the airplane and lifted the right wing, which resulted in the left wheel contacting the runway. The airplane veered off to the left, and the pilot initiated a go-around. The airplane did not gain enough altitude before the landing gear collided with a chain link fence along the left side of the runway. The airplane subsequently nosed over substantially damaging the left wing. The pilot reported no preimpact mechanical malfunctions or failures with the airplane that would have precluded normal operation.