Do pulled hair from the root grow back?
There's no harm in plucing a hair, but it won't do you much good


Plucking the hair will indeed get rid of the hair - but only temporarily


  "The follicle (the little tube beneath the skin that produces the
  hair) is still alive and will produce another hair to replace the one
  that was pulled out


So actually if you DON'T damage the follicle (which is really rare, this could be the case if you remove skin) the hair will definitly grow back.
To get into more depth here is a figure that shows the root and the follicle so it's clear what the difference is: 


I don't know in how much depth you want this question to be answered but if you are interested in the growth stages (which can influence the hair regrowth) you should take a look at this answer, I won't copy someone else effort here..
source: Randy Schueller (link)