Is Paul Hogan the actor the father of PJ Hogan the director?

No, Paul Hogan, the actor known for his role in "Crocodile Dundee," is not the father of PJ Hogan, the director known for films like "Muriel's Wedding." PJ Hogan's father is also named Paul Hogan, but he is not the same person as the actor. The two are not directly related in that way.