The absence of free will does not necessitate determinism, i.e. everything that will happen in the universe can potentially be predicted. The uncertainty principle takes care of that.
However, no, I do not think that human beings are free autonomous agents. I think the evidence is overwhelming, and one can perform so many simply thought experiments to test (albeit not conclusively) the idea that our conscious mind is the producer of our thoughts, and what not... None of them are able to do just that.
The universe can't ever be predicted because in order to do so you'd have to:
A. Compute the entire universe as a single system
B. Have the same computing power as the universe itself, physically impossible
C. Be able to run that computer faster than the universe runs itself
You couldn't even retrodict it.
Even to create a sim of the quantum states of 1 human brain you'd have to include the forces acting on it from the body, the earth acting on the body, the sun acting on the earth, the milky way, the entire universe.