Dojc was born in Humenné, eastern Slovakia and spent much of his youth there. His father was a secondary school headmaster, and his mother was a teacher. His family later relocated to Bratislava where Dojc studied mechanical engineering and psychology at Comenius University. In 1968, during a summer exchange program in London, United Kingdom, the Warsaw Pact Invasion of Czechoslovakia swept his hometown and forced Dojc to remain in the UK. On advice from his father, he relocated to Toronto, Canada the following year.