It must have when it was forming, current computer models suggest but there are actually two moons in orbit around the Earth after the collision with Thea. Both moons were still semi Molten, they claimed the smaller Moon caught up to the larger one and made an impact on it. But if they were both semi Molten it was probably more of a splat. It probably has negligible rotational energy now. But, in the far distant future if the earth-moon system is not swallowed up by the Sun, then I suppose the moon , once it gets to a certain distance and, is no longer tidally locked, it should acquire rotational energy. However, even if the earth-moon system does not get swallowed up by the Sun, once the Sun sheds its outer layers to become a white dwarf all that material will probably cause orbital drag on the moon and the earth so who knows.