It most certainly can, but as per ST6:TUC, it apparently isn't.
If Uhura did have an ear and a pair of lips for languages, it would seem somewhat probable that she'd tackle the all-important Klingon language at some point. Since she's about as fluent in the Klingon tongue as I'm in French, the odds of her mastering a large number of other languages would appear to go down somewhat.
It remains to be seen how different the two Uhuras ultimately are. Can nuUhura sing or dance? Can she bypass a transtator circuit with a hairpin?