I think you would have to ask the current management at the PCO. I think it's possible to provide logs that are redacted. Sometimes you would want to withhold the fact that the Prime Minister was sent something or met with somebody and so on. There's, undoubtedly, some way to do that.
Just to jump ahead a little bit.... That's why bodies like the review agency, NSICOP, the Federal Court and Mr. Johnston's inquiry do get access to that kind of document when they ask for it.