That could actually happen. Faster interstellar ships will pass by their predecessors from years before. From the perspective of the crews in the slower ships, the crews in the newer and faster ships will be time travellers, visitors from the future.
This has the makings of a good science fiction story.
In SF author David Weber’s “Honor Harrington” series, this was a problem. A group of colonists would purchase settlement rights to a planet, then set off from Earth in a sub-light cryogenic ship. Decades or centuries later, another group in a hyperspace capable (effectively faster than light) ship would pass them and squat on the same planet.
The first group would arrive and find themselves outgunned and with outdated tech. It usually would not end well.