I wouldn't have thought so. It causes annoyance to neighbours if not kept within bounds, but it hasn't shown any sign of escaping into the wild or harming wildlife - indeed goldcrests rather like nesting in its dense foliage.

There's much better candidates for the title, for example Japanese Knotweed, or one of the many water plants that have been sold for garden ponds and are now clogging up our waterways - Azolla for example.