Such a thing could exist, unless it's doing a trick (below) only in a very idealised situation, for two reasons.
First of all, in the real world there will be friction between the brushes and the surface. This means that the blue smiley thing will have to exert some torque on the brushes. That in turn means that the blue smiley thing will experience a change in angular momentum over time: in other words it will spin, and it will spin increasingly fast. It's not doing this in the animation.
For that to be the case you'd require two things:
- there must be no friction between the brushes and the surface;
- either the whole brush assembly must have zero mass, or the rate at which the brushes rotate could never change.
Neither of these is physically plausible for a real system.
So the answer is that the animation is physically implausible.
One possible exception (ruling out various trickery) would be a counter-rotating set of brushes inside the set you see, so the angular momentum & friction gets balanced out. Doing something like that would probably be plausible, especially if you were willing to have a very active control system which could adjust rotation rates and how hard the brushes press on the surface.