I believe it will NOT. As far as I know, a plane is able to take off due to the wind resistance/drag pushing up on its wings and body. On a conveyer belt, the only moving parts are the wheels, not the plane itself. There is therefore no wind to 'push' it up, so no, no chance it will take off.
It's like saying is an F1 car is areodynamic on a conveyer belt.... sure it has the parts to make it areodynamic, but on a conveyer belt it's not because the downforce and what not isn't present to due lack of wind/air drag.
EDIT: In regards to the 'momentum' of the plane. From a frame of reference from a stationary point on the conveyer belt, the pane has momentum (I think?). but from a point of reference inside the plane or next to it, the plane has no momentum - the conveyer belt on the other hand does.