Question

if the two bodies are held close to each other such that the distance between the centre of the mass will become equal to zero then can we seperate those two rigid bodies easily or

Answer 1

If we bring two bodies close to each other such that their distance between the centre of mass become zero then they are totally mix and it will not be easy to separate them. But as you have mentioned rigid body and you know the meaning of rigid body. To mix two rigid body is impossible.