@Ponderer,
Yes, I am absolutely sure. I have a Physics degree and I taught Physics for a few years.
My statement is 100% correct.
Any non-zero net force on a stationary object will cause it to move. That is true under any circumstance due to Newton's Second Law. Just to point out I used the term "net force" which means that you add the effects of all the forces acting on the object (i.e. friction can provide a force to cancel out your push).
Yes, if you drop a leaf on a planet, the planet accelerates. Of course the acceleration is extremely small... but if you agree that F=ma applies to planets and leafs than a force from a leaf will result in an acceleration of the planet.
I don't know if you want to work through the Physics, or if you are just idly arguing... if you do want me to work through the math with you, I will.