Split Geometry into Two?

Hi all!

Replicating a 3D amoeba and was wondering how to go about splitting a sphere into 2 pieces, either symmetrically or having one piece be smaller than the other, and then slowly coming back together. The very basic Noise SOP gets the “movement” but I am not sure if this is something that is done with just one sphere geo or if this needs to be done with 2 or more.

Thank you and please let me know if there is a tutorial/key words to look this up!

I’d try with carve sop if its sphere, there is also clip sop, but might be irregular and needs to be a polygon but you can choose angle of the cut.