plenty of details are missing from the original question, but no chance. the plane will not fly, no matter the speed of the engine or the speed of the conveyer. wheels have nothing to do with it other than being the only point of resistance between the plane and the conveyer, neither of which have anything to do with the speed at which the wings are moving through air.
that said, planes fly and remain aloft because of lift created by movement of the plane's wings through air. since we can't control the speed or direction of air on this scale, we accelerate the plane through the air until the aerodynamic effect of the wings creates lift. if the air's not moving over the wings / if the wings aren't moving through the air, no lift is created and conventional flight won't occur.
here's an example... I'm a cyclist and train indoors on rollers in the winter. rollers are a simple machine that allows you to ride a bike unharnessed and remain stationary. two cylinders in back cradle the rear wheel, one cylinder in front centered just slightly in front of the front wheel's center. one cylinder in back is connected to the front cylinder by a band so all the cylinders are moving when you begin to pedal. pedal and move the wheels fast enough for the physics involved (kinda like a gyroscope or spinning top), and you find balance and pedal away as if you were on normal ground. now, I get hotter and sweat a lot more training indoors than out. know why? no wind to speed evaporation. why? I'm not actually traveling forward through the air. if I'm pedaling the equivalent of 20 mph, sweat doesn't fly backward at 20 mph. it falls straight down because I'm not actually moving. neither is the plane.
in the case at hand, I picture myself standing beside the experiment. let's say the wind's blowing at 5 mph where I'm standing. the plane's engine(s) could accelerate to an air speed equivalent of 600 mph (offset of course by the conveyer), and air speed over the wings is still 5 mph. that just ain't gonna make it if we're looking for flight, and in my mind, the plane can't take off.
by the way, remember what happens when an aircraft is flying and air speed is reduced drastically? disasters occur, and we call it wind shear. if you've ever been caught in a plane experiencing wind shear, horizontal or vertical, I'll bet you agree with me that the plane in this experiment is grounded. the only time this happened to me, even the lawyer sitting behind me fell silent. absolutely the scariest flight I've ever taken.