Can you (personally) sleep with headphones on?

I live in a downstairs apt with a poorly insulated and squeaky floor above. Two neighbors of mine in a row have worked early morning shifts, getting up between 3 and 4 and waking me up too. Other than that, I like my apt and it's one of the few in my area that are decent and affordable.

Do you think noise cancelling headphones would be useful? If so, it's worth saving up for a quality pair to me, but I was wondering if it would be hard to sleep with them on.

What do you think?
Can you (personally) sleep with headphones on?
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