Why is it possible to remove a paper without moving the object on it. (apply newton's law)

This is possible due to inertia of motion. which is nothing but newton's first law.

according to this law, an object tries to retain its state of motion or rest unless acted upon by an external force.

consider an object placed on a paper, initially both the object and paper are at rest. to pull the paper, we apply force on the paper and paper gains velocity. but the object keeps its motion of rest and hence the paper can be removed without moving the object.