Is it possible to make questions using negative adverbs? (Never, hardly ever, etc.)

[Karin2021]

For example? What time do you never get up? What time do you hardly ever get up?
It is not common in Spanish, but I think it's possible, but what about in English?
I would really appreciate all your answers.
Thank you!

[emsr2d2]

We wouldn't ask the question with "neither" or "hardly ever". There would be far too many possible answers! I never get up at 0443, and 0412, and 0517, and 0926, and 1525 and many more!!!! It's far more likely that you would ask someone what time they usually/always get up.

However, if you change the theme of the question, they're possible.

What food would you never eat?
What fruit do you hardly ever eat?

[TheParser]

NOT A TEACHER

Great question, Karin.

Yes, sometimes when one finds it difficult to believe something, one might use "never." I have made up this dialog(ue).

Mona: I got angry at work today and said a bad word to a colleague. I immediately apologized.
Juan: Wow! That's terrible. I am shocked that you would lose your temper like that! Shame on you. I don't know whether I want to be your friend anymore.
Mona: Do you never lose your temper? C'mon. Tell me the truth now.
Juan: Well, yes, two years ago, I did lose my temper with someone. So I guess that I shouldn't judge you so hard. I'm still your friend.