Bind vertex to position of another object/vertex from a different mesh?

As the title said.

I’m trying to make a simulation for something I’m working on, notably to analyse the polygons made by aligning its verticles to other objects/verticles and dynamically changing their location. As a visual aid, I wanted to create a mesh which verticles would follow said objects/verticles. Is there a way to thus bind the visual aid mesh to those things so that it can be deformed dynamically as it is animated? If not, is there a workaround to have a similar effect?

I’m a little unclear as to what you are asking, but I suspect the answer is either ‘hooks’ or ‘vertex parenting’.