It hasn't been proved one way or the other yet.
I think the instruments to learn language are hard-wired into the brain but the language itself is acquired through interaction.
The idea is that universal grammar, not specific, is hard-wired.
Our ability to communicate, or get thoughts across for others to understand, is hard-wired. Language is not necessarily.
The human brain can *process* complex information but it can't *generate* complex information.
In the sense of "innately (genetically) determined" language is hardwired into our genes, I believe