The moon can clearly be seen covered in impact craters from comets, asteroids and other small objects. Many of these are recent and have occurred within the last few million years as they have not been eroded away over time by micro meteors. There is a difference in craters on the near side and far side which is due to the thinner crust of the moon that is facing Earth. This thinner crust is because of tidal forces from the Earth during the formation when much of the internal structure was molten. Having a thinner crust on the near side resulted in volcanoes covering over some of the older craters.
Are impacts still occurring today? In January 2019 a 45kg meteorite impacted the surface during the lunar eclipse. It was visible from Earth as a brief flash and created a 15m crater.