This is a nice concept and a good basis for a great mobile game! I felt like having to drag 2 arrows was a bit fiddly, and I think they should move Santa more than just one space, maybe they could move it all the way to the nearest object (border, home, obstacle...). But like your idea a lot and it fits the theme perfectly.
There is a somewhat annoying bug, when you lose if you want to try again, you have to reload the whole page because the game state is not fully re-initialized.