No, the purpose of creating records under the Registry Act of 1929 was to belatedly create an arrival record so it could be used as the basis of a certificate of arrival. The ability to issue a certificate of arrival was the whole point of Registry proceedings.
That said, if the certificate of arrival number has the letter "R" in it (as in #-R-#####) or you find the word "Registry" written or stamped on the document, those can be clues to the existence of a Registry File.