Actually it is possible. I somehow made it possible in of my beta levels of my project. I think I still have it. I'll maybe make a tourial fast as possible.
You could make the level size only one screen wide and tall. Then, set the layer the player is standing on to move. If you have any warps in this layer, however, the warps tend to break (at least in my experience).
The problem with having the standard layer move is that it will act like a sort of conveyor belt and slow down your jumps if you're running against it. It's as close as you can get as far as I know though.
Better solution, make another fresh level and you can Autoscroll on a new level. One thing for sure it you have to connect the first level to the new one.