I grew Joe Pye for many years in my New York garden. If happy, yes, it will seed about a bit, but I certainly wouldn't call it invasive.
I agree with Douglas. I think it is considered an invasive in some of the deep Southern states, since there is not enough cold to winter kill it. One of my MG friends has some and I'm getting some seedlings from her to try. I think the plant is lovely and will attract more butterflies to our yard.
thanks, Douglas and Catherine.