One of the challenges of a co-op school is that people tend to be "in the market" only whilst they have school-aged children, roughly ages 5 to 18. In much the same way that student involvement in higher education tends to focus strongly on the few years such students are actively being educated, which means that faculty, staff, and corporate influence in higher educational institutions tends to overwhelm student power.
That said, yes there are co-op schools, with the Co-Op School in Brooklyn, NY, being prominent: <https://thecoopschool.org/>
That said, yes there are co-op schools, with the Co-Op School in Brooklyn, NY, being prominent: <https://thecoopschool.org/>