The ability to draw vines is unlocked in Chapter 2-3 "Father Oak".
Look for the light green draw points and simply draw vines by equipping your magic marker with
and then press and hold
and move the
to draw. Whilst still holding
press and hold
to cut the vines and then repeat 199 more times.
You will most likely get this through progression in the game but if you wish you can use the same point over and over. You can view your progress via the consoles achievement app.Heres a video