Depends on where you're at. Might seem obvious, but clinical coordinator is usually in charge of clinical projects, performance, data collection etc. DOP takes care of the regulatory/operations side usually, but there can be some overlap (DOP overseeing or working with the CC on clinical stuff). Some places don't even have CCs and the DOP does all of the above.
Would be hard to make it to either position with PGY-1 alone. Maybe PGY-1 and a few years of the right experience and the performance and motivation to show for it for clinical coordinator. If you work as staff pharmacist for a few years and show leadership skills, that you're involved in performance improvement activities, and that you're interested in outcomes, that could probably land you in a clinical coordinator position.