The better way to phrase it is: "Are there objective truths about language?" -- this question is parallel to the question of moral realism: "Are there objective moral truths"?

I know this is probably not settled, but I'm not even sure of who has addressed it, so, mainly I'm looking of indications of the main schools of thought, and outlines of their rationales. I believe that I need to be better acquainted with this question, before examining theories of meaning, since how I interpret and particular theory of meaning will depend on the disposition of this question.