He competed in the four-man event at the 1928 Winter Olympics.
He was an active athlete in his military unit and the Pogoń Lwów athletics team, winning the bronze medal at the Polish Athletics Championships twice in shot put (1923, 1927) and once in hammer throw (1923).
[1] After the Soviet invasion of Poland he fought in the defence of Lwów.
Łucki most likely died on 18 September 1939 in Kuty, Stanisławów Voivodeship, while evacuating his unit over the border to Romania.
This biographical article relating to bobsleigh in Poland is a stub.