>"I am trying to find out if "Humans - the original invasive species" would be a reasonable slogan."
I'm sure there were invasive species long before humans evolved.
No one has a monopoly on the term, but I think humans in Antarctica meets a lot of the criteria -- recently introduced, environment can't naturally support the population (over-populated), and they're doing environmental damage (I think only one station is currently carbon neutral). Some of the scientists are killing some individuals of some species there, so that's harmful to those individual lifeforms.