Can one-dimensional motion ever have zero distance travelled but a nonzero displacement, or zero displacement but a nonzero distance travelled?

1. Distance can never be zero unless the object never moved at all, in which case displacement is also zero. 2. So zero distance forces zero displacement, ruling out a nonzero displacement alongside it. 3. But an object can travel back and forth and still end at its starting point, giving nonzero distance with zero displacement. 4. That asymmetry is why only the zero-displacement, nonzero-distance case is possible. _Source: OpenStax Physics (CC BY 4.0), Ch 2 "Motion in One Dimension", section 2.1 Relative Motion, Distance, and Displacement_