Palamiotis was born in 1914 in Karditsa, Thessaly. He started his athletic career as a football player for Anagennisis Karditsa. Later, he left football for track and field, becoming one of the best Greek triple jump athletes of his era. As an athlete, he competed for Gymnastic Club Trikala and later Panathinaikos.
In the European Championships of 1938, held in Paris, he captured 4th place, breaking the Greek record in the process with 14.70m. Twelve years later, he competed in the European Games in Brussels, finishing 14th - at age 36. In between, Palamiotis saw action on the Pindus front in World War II.
Palamiotis broke the Greek record four times:
- On August 7, 1938 with 14.66m
- On September 4, 1938 with 14.70m (in the European Games)
- On July 1, 1939 with 14.87m
- On July 8, 1939 with 15.03m - achieved in London. A record which stood for 17 years until Kostas Sfikas broke it.
After he retired from action, Palamiotis became a coach for AEK.