I think you can wear hijab if you wanna to do this for any reason, other than making fun which I believe it is far from your intention by this question.

If you noticed…you will find all nuns in churches are wearing and fully covered like hijab for Muslims women.

I myself saw a very old British movie, where all women were wearing fully covered including their heads…I believe late in 18th century.

I believe Christianity invited women to be covered as well as Islam.

Regards,

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"Did ye then think that We had created you in jest, and that ye would not be brought back to Us (for account)?"

Surah "Al Mo'Emnon" verse (115)
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