No, it appears that the brain is doing what it wants, the desires being below the threshold of awareness (you conscious experience). The old view, made popular by Freud is that the, for example, the unconscious sends up desires, then you, the conscious part of you, makes the choice. You feel a desire to eat cake (sent up from the unconscious, the part you're not aware of), now the impulse is in the conscious part of your mind, the part that is 'you', you're on a diet, so do you choose the option that leads to instant gratification (eat the cake), or the one that leads to delayed gratification (losing the weight). The point, is that impulse was generated by the part of the brain you're not aware of and have no control over, however the choice you make (to act on it or not) is up to the 'you', the conscious part of the brain. However, research is illustrating that the impulse and the choice are predetermined, thus it only feels like you made the choice, when in fact you didn't. Another example is Blindsight, I copied this from the thread 'science fiction recommendations'. If you wish, you can go to that thread a read what I wrote, I don't feel like rehashing everything again.
"It appears that consciousness isn't necessary for predicting behavior. I'll go back to the example I gave earlier. If you realize that a car is approaching and will hit you unless you take action, one of the things you have to do is try and 'predict' what the other driver will do. Will they brake? Do they see you? Will they veer left or right in an effort not to hit you? Again, the old view was that the brain takes that all that into account, then sends possible scenarios into your consciousness where you choose which scenario is best (to avoid being hit). However, that requires a working visual system (other sensory modalities can't provide all the data necessary to fully predict possible outcomes in this case). However, someone with blindsight acts as though they can see. Those with Blindsight have a visual system that can still process visual data taken by the eyes, sending that data to the brain via the optic nerve, again the only pathways damaged are the ones responsible for your visual experience (conscious experience of sight). Thus, if a person who claims they can't see (Blindsight) however can still act in situations where visual data is required, what's the point of consciousness? What consciousness may be is a simulation created by the brain based on certain processes, akin to what happens when you dream. One idea is that consciousness was an evolutionary fluke sometime in our evolutionary past, thus it's possible that if other intelligent Aliens exist, ones capable of science and technology (things required for space travel), they may not be conscious as we are. Which is why it was so difficult to communicate with the aliens in the book Blindsight (there was no conscious interface to communicate with)."
Lastly, free will appears to be incompatible with the laws of nature. I posted this video before, I'll do it again. I'm not a physicist, thus I'll let one explain the argument.