I'm going to take a different approach here. Let's suppose that such a rock does in fact land on the surface of the moon. The reason I do this is to show a more substantial reason why it cannot happen.
We know to begin with that the only forces that could be acting upon the meteor are gravity and electromagnetic forces. We know this for a fact because it is in the vacuum of space and those are the only two forces that could feasibly interact without a medium. We know that it must be moving towards the surface of the moon or have a component of motion in that direction. The reason for this is that the meteor moves towards the moon and will slow down as it reaches it. Since we are only considering the moon and the meteor we know that the moon has to be pushing on the object so as to decelerate it. We will assume that motion tangential to the ground on the moon is somehow matched by trajectory. This is possible since the object could have a tangential motion speed equal to that of the moons rotation and that speed wouldn't change. However it would get faster as it approached the surface in the sense that it has to travel a greater distance to keep up when on the surface vs in orbit. So we mean rotation speed of the moon at the surface and not in orbit. This also means that the exact speed is determined by the precise landing location's elevation. Since there are many craters on the moon and it is not perfectly flat this does make the situation less likely.
However, now you have to stop and think about this for a moment. The moon is pushing the object away in such a way that it decelerates it. Now unless this force causes the meteor to fracture at the surface, this means that the moon can push the object away and there is nothing that will stop it from immediately doing so. Meaning that the meteor will hit the moons surface very lightly (can't be exactly at 0 velocity or it would stop midair) and then start being repelled by the moon and be launched into space.
However, this situation will not occur because the moon is not magnetically charged as far as I am aware, and furthermore such a planet with a charge greater in magnitude then the force of gravity would likely be unstable and start repelling itself. The force of gravity is what we primarily see as the strongest non-contact force in the universe specifically because (barring theoretical dark matter) it does not cancel.
The only other alternative is that something external to the moon pulls on the meteor causing it to decelerate and that said object slowly stops pulling on the meteor such that the acceleration is almost 0 at the surface of the moon. However your scenario does not include such parameters so I cannot justify it as being a valid case.