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I'd say yes. Sometimes nicknames aren't related to names at all. And if you love it, use it. If you look at Lilou's related names there are names like Annabella and Marisa, which wouldn't even make me think they're related ( http://www.behindthename.com/name/lilou/related ).

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If you're pronouncing Leona with a starting LEE sound, then I think especially it'll be alright.