There is no organization-wide requirement like that.
Someone on the local body of elders appears to have a large pole implanted in an orifice, though. It's apparently not enough to be "active in the ministry", the prospective baptizee must also have a "well-rounded ministry" including "following up on interest shown".
Philip was clearly running ahead of the organization in allowing the Ethiopian to get baptized without reviewing his time-papyrus first.