Well no not absolute zero (no temperature pun intended). Your answer lies within the laws of friction. Specifically kinetic friction. When one considers the energy expended while stropping one understands that the "law of conservation of energy" means it is lost to the system by transforming into heat.
Simply stated When an object is pushed along a surface, the energy converted to heat is given by:
Attachment 139289
where
Attachment 139290, is the normal force,
Attachment 139291, is the coefficient of kinetic friction,
Attachment 139292, is the coordinate along which the object transverses.
Energy lost to a system as a result of friction is a classic example of thermodynamic irreversibility
This heat of course is used to polish the bevel surface of the razors thereby delivering a smoother shave. You can therefore conclude that some amount of pressure is require.
I hope this clears it up for you.