Probably not Bon unless the truck speeds up. As there is no wind, there is no force pushing the helicopter backwards, meaning it will be travelling at a constant force in one direction, with no opposing forces to slow it down.
It doesn't need a constant force to keep the speed the same, it's the acceleration/decelleration forces (such as wind resistance/friction or an engine) which will affect the forwards/backwards speed.
Like i said however, if the truck were to speed up, then the helicopter would begin to move backwards, likewise if it slammed on it's breaks, the helicopter would suddenly jolt forwards through the windshield / guy with the remote control.