Use dynamic mesh to climb the wall ?

Hi, everyone.
I'm not a native English speaker, so sorry for reading my poor English first.

I have a question which I have not clue how to do it.
I'm trying to create a dynamic mesh that can climb the wall just like the gif I posted.
In the gif, I use shadow to simulate the effect.

Can anyone tell me if it's possible to use the dynamic mesh making this kind of climbing effect?
Or if there're another better ways to do it?