To answer the OP in as neutral a manner as possible:
Differential pressure applied over an area results in differential force. When forces are unequal, an object tends to accelerate in the direction of the lesser of two forces. The airfoil can been as the boundary/contact point/contact plane, of two different forces.
In the case of the airplane .. when the force acting in the "up" direction exceeds the force acting in the "down" direction, aircraft (anything else for that matter) will tend to go up unless otherwise constrained (in otherwords, being acted upon by yet another force).
Depending upon how much runway you have, and how much thrust, and what the shape of your airfoil is, it is conceivable that you could start rolling down the runway and eventually, with no further manipulation of the controls, achieve liftoff due to the differential described above as your speed increased above an airspeed that procuded a differential large enough to do so. (also depends upon the shape and location and neutral position of the horizontal stab ... )