Following the murder of his father when he was just six-years-old, Honorio Bórquez was encouraged to join a local sports club by one of his brothers, where he took up boxing. In 1965 Bórquez competed in local tournaments in his home neighbourhood of Puerto Montt in southern Chile. He soon became an accomplished light-middleweight fighter, winning several national amateur titles at the end of the decade. In 1968 he was selected to compete at the Mexico City Olympics but lost his opening bout to Günther Meier. Despite the defeat Bórquez was crowned champion at the Latin American Boxing Championship later that year. By 1970 he had turned professional but had a mixed set of results. Despite winning three of his first four fights as a pro, he only won one more bout out of the 15 fights he contested during his career. After his retirement Bórquez worked as a coach and trainer for young boxers, in addition to finding work as a bodyguard.