'Have you never a normal day?' This is correct, even if used less.
Is "Have you never had a normal day?" incorrect?
As a translation of the German sentence, yes.
Your sentence would correspond to Hast du nie einen normalen Tag gehabt?.
"Don't you ever have a normal day?" is accepted.
It wasn't accepted for me, January 2020
"Do you never have an ordinary day" was not accepted. But elsewhere, "ordinary" is accepted as a translation of "normal". I believe it should be accepted here too. Reported.
"Have you never a normal day?" is perfectly good English.
Normal for Yoda in my opinion.