Haven't had one of these for awhile. This thread is for questions or comments that you've felt silly about not knowing/understanding. Let's try to exchange info that seems obvious, knowing that due to the illusion of transparency it really isn't so obvious!
In the photon's own subjective experience? Yes. (Not that that's possible, so this statement might not make sense). But as another commenter said, certainly the limit of this statement is true: as your speed moving from point A to point B approaches the speed of light, the subjective time you experience between the time when you're at A and the time when you're at B approaches 0. And the distance does indeed shrink, due to the Lorentz length contraction.
It travels in the sense that an external observer observes it in different places at different times. For a subjective observer on the photon... I don't know. No time passes, and the universe shrinks to a flat plane. Maybe the takeaway here is just that observers can't reach the speed of light.