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Since the Earth is rotating, and moving through space, and the rock is moving along with the Earth, then it does, but relative to the Earth, I'd say that the momentum of the rock (mass * velocity) is essentially zero.

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Q: Does a rock by the side of the road have momentum?
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What can be use to estimate the thickness of rock layers along the side of a road?

a meter stick


Why is momentum M times V?

Simply because physicists discovered that it is a product that is conserved. In collisions of two objects for example, if you add up the momentum before the collision the momentum will be the same after the collision. Note that momentum is not something that has a concrete reality. A rock sitting on the ground has zero momentum relative to us here on earth but has alot of momentum relative to someone on mars. It can not have zero momentum and alot of momentum at the same time, it depends on ones frame of reference. My point is that momentum is not at 'concrete" thing. Refer to the 'Conservation of linear momentum' in Wikipedia.org, "The World's Encyclopedia" *Check out related links*


Is tarmac an impermeable rock?

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What is silent rock on mt hood?

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When a rock on one side of a fault moves down and rock on the other side moves up a what mountain is formed?

A Block Mountain.