Yup.

I've got another friend/acquaintance who's got a fully legal (self chosen) single name. No first/middle/last name, just a "mononym". He has the expected hilarious outcomes with things like Google's "real name policy".

A prominent example of an interesting name is Caterina Fake.

He? So it's not Cher?

Nope. Can't even claim "acquaintance" whth Cher. Or Prince.