Depends. What is free will?
Unless quantum mechanics can convince me otherwise, I'm going to continue thinking that the universe is deterministic, even if we can't know everything precisely enough to determine the future. However, free will is a sufficient model for our actions because in the end, our behaviour is too unpredictable.
More importantly, who cares? It's not like you can do anything about it and it's not like knowing the answer is going to change anything. I don't think it's a question worth sacrificing a lot of time to.