Native but invasive?

Can a native plant be invasive?  The orange trumpet vine would qualify.  Wikipedia calls it's growth vigorous, and says ruthless pruning is recommended.  (See here)

 

Orange Trumpet vine

These native vines can be very invasive in North Carolina.  But then again, every vine is invasive in North Carolina...Kudzu, Ivy, Virginia Creeper, Wisteria, Passion flower...Don't plant a vine in North Carolina unless you want it everywhere!

 

Trumpet vine

This bright orange flower is aptly named: Trumpet vine. It is native to the Eastern US and can be very invasive, but beautiful.