The pilot was landing a nose wheel-equipped airplane on a dry, paved runway. The pilot stated that after touchdown the airplane bounced and the nose of the airplane veered to the left of the runway centerline. In an attempt to correct the veer, he applied right rudder while adding engine power. When the airplane settled to the ground, and the left main wheel touched down, it pivoted the airplane sharply to the left. The pilot then applied full engine power in an attempt to abort the landing, but the right wing struck the runway, and the airplane subsequently went off the left side of the runway. The airplane continued into an area of grass-covered terrain, and the nose wheel collapsed, before the airplane came to rest on an adjacent taxiway. The airplane sustained substantial damage to the right wing. The pilot stated that there were no preaccident mechanical anomalies with the airplane that would have precluded normal operation.