Unity3D, a plasticine model

Hello.

Please answer a few questions.

Task: it is necessary to make a ball, such that if a metal object is dropped on it, the ball under the influence of gravity is somewhat deformed and retains its deformation. The action takes place in Unity.

I understand that Unity itself can only create metal objects(or make imported models metal), and the maximum way I can get closer to the goal is to pick up (or create) some collider material, but the necessary one, as you understand, is not there, I was a lot like izgol, but the ball did not bend.

The questions are as follows:

Is it possible to do this only with Unity? If so, through which component? Or through a script? If the script, then in which direction to hum?

If it doesn't work only through Unity, what should I do? Create a model in a 3D editor? What should be considered?

Such deformations are made through animation, or through native properties the object?

Thank you in advance.