May be, but only particular tactic schemes... as to the philosophy and ideology, why to borrow something that is anyway yours? Fascism and communism are closer to each other then the closest of cousins.
Hitler was the leader of the party which was (national)socialist and workers' (or labour?) not only by its name.
Mussolini, before leaving Italian Socialist party (because it wasn't radical enough for him) was its best orator, as well as No 1 writer and editor of the party's mouthpiece "Avanti!".
One of the most successful deceptions of the Left was their campaign of blaming the Right for Nazism and Fascism, the two inherently communistic movements.
Communism & fascism - two rabid socialist dogs fighting over one collectivist bone.