From Saturday's reading in the Missal of Paul VI...
Acts 6:7 - And the word of the Lord increased: and the number of the disciples was multiplied in Jerusalem exceedingly. A great multitude also of the priests obeyed the faith. (DRV)
Also Priests. (Well, a large group of them, anyway.) So you see, it can happen.
Kudos to Diogenes @ CWNews.