Not really, but it can be involved for some tasks. 'Muscle Memory' is a bit of a complex thing. It's not so much the firing of the neurons, as much as it is the timing of that firing. Your reaction time is at the ~5ms level. Much longer than the muscles need to move in concert to, say, hit a 3-pointer. Controlling all of that can take place all the way from the brain down to the ganglia of the spinal chord. Drinking a cup of tea while reading will mostly take place before the brain gets a chance to intervene, for example. While riding a bike will involve more of the brain. I want to stress, it's a complex and not well studied area of active research.