Not possible at all: Granada wasn't in good terms with any other Muslim nation at the time, that was the reason why the Castilleans were able to conquer Granada. And here's the main question: why would the Ottomans spend such vast resources trying to reach the New World if they wanted to conquer Europe in the first place?
Of course not... if they're not close enough.... But I see no reason why the Ottomans would simply say "DO NOT WANT" to the Granadan plead for help after they're close enough(that means that they've already conquered Italy). Besides, dominating Med Sea from an end to another does seem to me as would be interesting enough for the Ottomans. Yeah, they won't be showing much interest to try to colonizing the New World.... it's just that they Granadan vassal probably would, and after things across the ocean have developed tempting enough amount of money the Ottomans will going to want some share of it. If you want to make the Ottomans actually having a large-scale possession in the New World you have going to change the nature of the empire......
....which actually is certainly doable
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