Not when the clear evidence is that I can move my arm with my mind.
There would have to be extraordinary evidence to demonstrate this was not the case.
The clear evidence is that everything you refer to as "your mind" is you brain, and every variation in your experienced state of mind (e.g., your will) is produced by a change in your brain. The reverse is not true, because there are constant variations in your brain that do not manifest as changes in your conscious mind. This strongly supports the brain as the causal agent and "your mind" as merely an epiphenomena of particular brain states. IOW, the feeling that want to move your arm is caused by a brain state, and that brain state is also what actually causes changes in other parts of the brain that then move your arm. You wrongly infer that "your will" alone caused your arm to move from the fact that it is correlated with your arm moving, due to being caused by the same brain states that caused your arm to move. It is analogous to a person who can only see the trunk and tail of an elephant but the rest of the elephant is invisible to the person. What they experience is that whenever the trunk moves, the tail follows. So the person infers that as evidence that the trunk is causing the tail to move, when in fact the cause of both is movement of the unseen middle. Separate them and the tail and trunk will never move again, but the middle still can because it is the true cause (upsetting as the notion of a trunkless elephant might be).
Granted, exactly how the brain gives rise to the epiphenomena of the mind is still unknown (though we've gained in our knowledge of where it happens). But we don't need to know that to have mountains of evidence (which we do) that conscious experience is a consequence of the brain and not the other way around, and that even when that conscious experience doesn't occur, those brain states still cause the changes in other parts of the brain and move parts of the body. The evidence overwhelmingly favors the mind as an epiphenomena that does not actually play a causal role.
Understanding the precise mechanism behind a causal relation is not neccessary to scientific knowledge of what is cause and what is effect. Is precise knowledge of the mechanisms that give rise to lung cancer required for scientific knowledge that the relation between tobacco smoking and lung cancer is that smoking causes cancer and not the other way around?