Of course! It all resolves down to a reference frame. On a mobius strip
there is a single point that marks a 2D x,y aspect. This point is usually
located at the center of the band and may move around the band
to always a position opposite to the center of rotation of the twist.
I hope I phrased that right. More or less the mobius band resembles
the electron of a hydrogen atom. If you think of the twist of a mobius
band as a unit, and that the twist can follow around the band leaving
a virtual impression of movement where only rotation is involved, the
whole idea makes sense.
There is some art sculpture done such that when viewed you see
a base player and when you look at it 90 degrees around you
see a master playing a grand piano. A single thing can be more
than one thing. That's why the observation's perspective is so
important. We see one thing but it's really another and at the
same time both things. This duality of perspective if unknown
to the observer limits his total observation. Is the elephant
a tree, a snake, or a broom?