Yes, they should be allowed to ask.
And I should be allowed to respond with, “What is this thing that you call facebook?”
Exactly. Great answer.
Of course, if you do have a Facebook account and your employer later discovers it, you'd be in a position to get fired for lying on your application.
The best idea is that if you are job hunting, simply delete your FB account. You can always reopen it later.
I don't even know what a "Login" is.