The shadow of the moon can be seen on the Earth during the eclipse and is seen by the area around you visibly darkening during totality.

Normal shadows of other objects can be seen during the eclipse. It actually appears very bizarre and surreal because your brain is so used to seeing long shadows when the sky is dim, from the Sun being low in the sky, but if the eclipse happens during mid-day while the Sun is still high, the short shadows look unnatural in dim light.

Using a pinhole to cast a shadow is even a common way to safely view the eclipse, indirectly.

And a shadow does not block out the Sun during an eclipse; the moon blocks the Sun. You may have confused it with a lunar eclipse, when the shadow of the Earth covers the moon.