Banana Kong clone for mobile possible?

Would it be possible to do a clone of banana kong with good performance on mobile? It's an auto-runner that changes backgrounds depending on certain triggers in the game. (See trigger to underground cavern at 1:28)

My only concern is that C2 doesn't export well to mobile with multiple large images. The performace is awful for it, or at least that's my previous experience. My game design only requires 3 separate background styles (but each with at least 1 backgrouned + a second backdrop). What do you guy think? I appreciate any help <img src="{SMILIES_PATH}/icon_razz.gif" alt=":P" title="Razz">

I have a demo that allows me to do the basics. https://dl.dropboxusercontent.com/u/104143348/Water%20Park%20Game/index.html

--3 levels setup, and you can try each one by clicking on either the scuba or umbrella icon.

--Can be played on mobile with 1 touch.

Next I'm trying to figure out how I should program the main level so it's more like banana kong? Banana Kong has a setup that makes a series of different navigatable landscapes. I've done random platformer tile generation, but this a bit different as I would be setting up larger more complex platforms.