No. A cube is a finite entity. If a plane is generated by the revolution of a line, then the logical evolution would be to revolve a plane, generating the tridimensional space. Thus, an eight-dimensional cube would rotate around a space of infinite dimensions.
I understod it as
-a 2D square rotates around a point
-a 3D cube rotates around an axis(or line)
-a 4D hypercube rotates around a plane(or square)
-and the next one on the scale would rotate around a cube?
of course, this is just speculation on my part.
It can't, in a tridimensional space. From a mathematical standpoint it should be possible, I guess.
Alas, mathematics have pwnd reality "