Is it possible to push an object when I touch it by moving another object in Object Mode? I have created 2 cubes and I want to know how to consider each cube, in Object Mode, as a real solid (without gravity) and so:


when I move one cube to another cube this second cube moves too when the first cube touch one of its faces. 
and this second cube stop to move as soon as the first object no longer touches the second object.
Here a solution using RigidBodies:


add a ground (large cube), make it a passive ridig body 
add rigidbody to the two other cubes sitting on the ground, check the "Rigidbody/Animated" box for the 1st cube 
hit space to play the animation then move the first cube toward the second. Collisions should happen...