Were there any priests on the First Fleet?

No, there were no priests on the first Fleet. The first fleet was a British naval expedition that transported the first European colonists to New South Wales in 1788. The fleet was composed of 11 ships and carried over 1000 people, including 759 convicts and their overseers. The only clergy that accompanied the First Fleet were two chaplains, one for the Protestant congregation and another for the Catholic.