This is a more specific version of this question which asks, in the general sense, if you could use ranks in Linguistics to teach a language to a familiar. There is some text that seems to suggest that a familiar could be taught to understand a language, but likely lacks the anatomy to speak it.
There are, however, a few familiars like parrots and ravens which can speak a single human(oid) language once they are bound. Since such familiars already properly speak a language and clearly have the anatomy to produce most or all of the appropriate phonemes, is it possible in the specific case of familiars which can mimic a single language to teach them a new one?