I did an ultraquick bit of digging. Found two sites that both indicate it is legal in some parts of the US, but not Florida and a few other locations.
Edible Acres has a species of it for sale and
This Site gives a little information on their origins and how they were originally brought to Florida.
The wild varieties are already in Florida, Louisiana, Mississippi, Texas, Hawaii, and Puerto Rico, so those locations may be ones where it is a problem and considered invasive. I imagine looking closer at the individual statues for each area (Florida notwithstanding) would be needed to confirm this. Apparently in those locations it acts a lot like the Kudzu that was brought to Tennessee. It overtakes all the natural vegetation, strangling out everything else by smothering out sunlight from reaching them. Assuming it is legal where you are, I imagine steps should be taken to ensure you retain control of the plant.