Is it correct to say that rock circulation occurs in the earth’s crust?

Yes, indeed, rock circulation is observed in the earth’s crust. However, this process is very slow, one cycle takes tens and even hundreds of thousands of years.

Igneous rocks in the form of lava rise to the surface through the mouth of volcanoes and spread over vast territories. The lava solidifies. Wind, water, temperature extremes, the vital activity of organisms transform igneous rocks into sedimentary ones. Layers of other substances (dust, new emissions of lava and ash, etc.) are gradually formed on top of them.

Sedimentary rocks are compacted, sink deep into the crust, where higher temperatures melt and again return to the state of igneous rocks.