Was 1970’s 'Patton' really the first of the entire 'Godfather' series of movies?

I was talking about
the 1943 American/British/Canadian campaign in Sicily the other day, which got
me sidetracked into talking about the film Patton, which is how most
Americans today know anything about that fight. Two little-known facts: The
film was produced by Frank McCarthy, who had been an aide to George
Marshall during World War II.

And, it was written
by one Francis Ford Coppola. Given that much of the film
takes place in Sicily, does that make it a kind of prequel to the Godfather
series?