Bacsik was born in Budapest, Hungary, the son of Arpad Bacsik and Erzsebet Pocsi, of Romani ethnicity. He studied classical violin at the Budapest Conservatory before moving on to jazz guitar. In his teens, he recorded with Geza Szabo and Jozsef Quitter, then toured Europe with Mihaly Tabanyi. He lived in Paris in the 1950s, recording with French musicians and with American musicians who were passing through, such as Dizzy Gillespie, Lou Bennett, Art Simmons, and Quentin Jackson. In 1966, he moved to America and worked with Teresa Brewer until 1974. He played at the Olympic Games Jazz Festival in Los Angeles in 1984.