How to dig the surface?

Is it possible to make the opportunity to dig a surface in Unity? That is, to destroy the surface not by blocks, and the curves cut from the surface?

see destruct 2d asset on asset store… or there are other ways to do it. destructible terrain is probably what you want

Yes.
Research voxels.

Oops. 2D.
@JoeStrout and @MD_Reptile have great threads about this topic.