Thoughts and muscle movements come about through the opening and closing of ion channels that allow information to travel through neurons and for muscle fibers to contract and relax. 'Free will' in the sense that our mind is separate from our body and that it can somehow open those ion channels is a combination of dualism and molecular telekinesis, so I do not believe that, no.
But I do believe that consciousness is an essential emergent property of our brain. What we experience might be the output of a causal prediction engine in our brain that is making a prediction about the immediate sensory experience in a way that we can respond to stimuli before they happen. In that sense, yes, I do believe in free will because that conscious output that I experience is me! This prediction machine is me making predictions and choices.
I think that a materialist framing of free will requires accepting some model of consciousness in which consciousness is not just a weird accident but is a physical phenomenon that is part of us. An essential feature of how our brain works. This is not yet demonstrated (very difficult if not impossible to do so), but I think it is. Then 'free will' and 'a material system following the laws of physics' is no longer a contradiction.