A path is a collection of points in space and time. Certain collections of points in space and time can be said to be all simultaneous to each other. If your path exceeds the speed of light, then to somebody, your path is a collection of simultaneous positions (at least in special relativity. I don't know GR)
My notion of simultaneity can be different from that somebody's. If they think event A and B are at the same time, I might think they're different. Waving hands, no frame is privileged, so I could think they're different as (A < B) if I'm moving this way, or (A > B) if I'm moving that way (relative to this person).
That means that the events this person thinks are simultaneous (you leaving and you arriving) can appear in either order to others depending on reference frame. It can look like you arrived when you left (same time), you arrived after you left, or you arrived before you left.
My notion of simultaneity can be different from that somebody's. If they think event A and B are at the same time, I might think they're different. Waving hands, no frame is privileged, so I could think they're different as (A < B) if I'm moving this way, or (A > B) if I'm moving that way (relative to this person).
That means that the events this person thinks are simultaneous (you leaving and you arriving) can appear in either order to others depending on reference frame. It can look like you arrived when you left (same time), you arrived after you left, or you arrived before you left.