In short, yes, it is listed on the "moderate threat" invasive plant list in Kentucky. To be classified as an invasive species, the plant must be "non-native and able to establish on many sites, grow quickly, and spread to the point of disrupting plant communities or ecosystems." Technically, the plant is considered native to the U.S., but it may not be native initially to Kentucky. It is classified as a herbaceous weed everywhere else.