No earlier examples are known. The first that could be argued to reach outer space was the fourth V-2 launch, on October 3, 1942. Its maximum altitude of 85-90 km or 97 km (depending on the source) meets the old NACA definition of outer space of about 50 miles (80 km). The US Air Force awarded astronaut wings to X-15 pilots who went above 50 miles in the 1960's.
However it does not meet the modern definition of outer space as starting at 100 km. You only have to wait a few years though for another V-2 to crack 100 km, no later than 1944.