I tried to find kanji for the name Aimi by looking at the readings of kanji on jisho.org.
Do the kanji 鴉靉魅 work for the name Aimi?
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Well, it sort of works, depending how you interpret "works".
The ENAMDICT database contains many rare names (and over 100 ways of writing the name あいみ in kanji — but not 鴉靉魅).
The database does contain entries
as well as several names using 魅 for the (common) ending, such as
as "female given name" suggesting that all characters might be used in a name.
Reading 鴉 and 靉 as a and i is "theoretically" possible, but almost impossible to guess. Note also that these two are hyōgai kanji, so they could not be used in a given name for a baby girl (or boy) born in Japan now.
Also, the choice of kanji does looks a bit like someone wanted a name with as many kanji and as many strokes as possible.
If you wanted a more "realistic" name you could keep 魅 as mi and put either
I think this way you can get a pretty name, which isn't too eccentric.