Luczak came to Australia at 9 months of age, when his parents, Eva and Kris, left Warsaw in 1980, where they settled in Melbourne. Luczak started playing tennis at the age of 5, he was introduced to the game by his Polish born father Kris. He did not have major success at junior level and was not able to receive funding from Tennis Australia nor have a major sponsor. Luczak was able to gain a tennis scholarship at Fresno State University, which helped his tennis development and in the process getting a degree in finance without the financial burden.