Memory Alpha makes the statement that:
In some ways, Nausicaans were physically similar to the Chalnoth and
the Kradin. (TNG: "Tapestry", "Allegiance"; VOY: "Nemesis")
However, I can find no solid evidence on Memory Alpha or Beta that they were in any way related.
I would not be surprised though if they were in some way related; considering we learn in Voyager that several species from Earth have traveled to the Delta quadrant, including the Voth, it is certainly possible that a group of Nausicaans left their homeworld and ended in the Delta Quadrant (or vice versa). This is just speculation though; I can't find anything to support or deny that claim, other than the fact that we do know such an occurrence has happened in the Star Trek canon universe before.