THE AIRPLANE COLLIDED WITH TREES DURING INITIAL CLIMB, FOLLOWING AN ABORTED LANDING. THE PLT REPORTED THE FOLLOWING: THE AIRPLANE ENCOUNTERED A 'WIND SHIFT' DURING FINAL APPROACH, AS IT CAME OVER AN OPEN FIELD AFTER CROSSING TREES. THE AIRPLANE THEN DROPPED 'REAL FAST', HIT THE GROUND A FEW FEET SHORT OF THE RWY, AND BOUNCED BACK INTO THE AIR. FULL POWER WAS APPLIED, AND AN ATTEMPT WAS MADE TO GO AROUND; THE AIRPLANE VEERED TO THE LEFT AND COLLIDED WITH TREES ADJACENT TO THE RWY.