I’m not so sure. I thought the Rolling Stones “Satisfaction” was the first song that used a fuzz box. Strangely enough Richards only used one on one other song and otherwise plays straight.
Of course the first REAL heavy metal was Black Sabbath.
The first use of a fuzz guitar was Marty Robbins "Don't Worry" from 1961, produced by an accident in the studio when a tube in the amp blew during the recording. Marty liked it so much he kept it in the song.