I suspect that they did not but I can't find anything on the internet.
I think that they had way too many hits and that their songs were way too good just to have been composed by a bunch of guys with zero musical training.

Usualy a band is very lucky if they have one or two huge hits.

I think that the Beatles were a manufactured phenomenom by the TPTB.

Also after the Beatles disbanded, John Lennon made crap music, Paul Mccartney made two good songs and then nothing.