since most churches do designate who would be able to perform water baptism, wouldn't we have to wait until their proscribed time and parties actually perform it?
I don't believe that there is a record of all the Apostles being Baptized.
Some of the Apostles were disciples of John and were likely Baptized by him but that is different!
I believe Roman Catholics believe that a person can be baptized, sprinkled in their communion, by anyone.
But then they believe in baptismal regeneration.