Is there any automated online service for making white board animation?
The video you showed is simply a stop motion video, not an animation.

So you aren't going to be able to simply send a jpg off somewhere and have it come back as a video.

There are plenty of video houses that will happily make you a video like this, but it is time consuming. Usually they video the entire process of drawing the art, then cut out frames - to ensure they keep in important key frames.