Bloomfield's family lived in various locations around Chicago before settling at 424 West Melrose Street on the North Side. When he was twelve his family moved to suburban Glencoe, Illinois, where he attended New Trier High School for two years. During this time, he began playing in local bands, and Bloomfield put together a group called the Hurricanes, named after Ohio rock band Johnny and the Hurricanes. New Trier High School expelled Bloomfield after his band performed a raucous rock and roll song at a 1959 school gathering. He attended Cornwall Academy in Massachusetts for one year and then returned to Chicago, where he spent his last year of education at a local YMCA school, Central YMCA High School.