Kulich was born in Prague, Czechoslovakia to a family that was already involved in the acting industry. His uncle operated a theater company in the city, which allowed the young Kulich to experience what the stage was like. Kulich visited the theatre often, and when he was approximately five years of age, his uncle allowed him to run errands, which mostly involved fetching pitchers of beer between intermissions. Kulich became interested in acting and believed that an acting career would be his future. He began by performing in various small parts in the State Theatre of Czechoslovakia. His first paying job as an actor was in a low-budget Czech film as a crying boy who had lost his balloon. However, his acting career was soon set back by his parents' divorce and the subsequent relocation of Kulich and his mother to Montreal, Quebec, Canada.