No, it is not.
Center of mass is the point at which the object can be balanced and treating a collection of masses as one mass at their common centre of mass.
Center of gravity is the point from which the force of gravity acts on an object or system.
A deform-able or flexible body is one that can distort. It would normally refer to a solid object so that as it deforms, it sort of deforms in a way that it could return to its starting shape if all the external forces were removed that caused it to deform.
Examples are belt, rope, rubber band etc.