Basically you should be able to draw outside of the Screen or at least you can position your sprite outside of the screen, it doesn't get rendered from delta as long as it's outside to save performance.
When the user clicks left/right, you just move the sprite towards the appropriate direction, so if the user clicks on the left side, you move the sprite towards there and similar for the right side, only the movement has to be the opposite.
Look at the Sidescroller sample, it should be more or less the correct direction to start, even though it has no manual camera, it should be that what you desire :)

I'm glad I could help you :)
Let us hear your results, we're always there to help

For a bit more guidance you could also check the Tutorials 10-20, which do similar things as in the SideScroller sample and explain how to do it step by step:
http://deltaengine.net/learn/tutorials#entities10