WordNet sense 1 (a sharp strain on muscles or ligaments):

twist, wrench

WordNet sense 2 (special advantage or influence):

clout

WordNet sense 3 (perform an act, usually with a negative connotation):

commit, perpetrate

WordNet sense 4 (cause to move in a certain direction by exerting a force upon, either physically or in an abstract sense):

draw

WordNet sense 5 (bring, take, or pull out of a container or from under a cover):

take out, pull out, get out

WordNet sense 6 (tear or be torn violently):

rend, rip, rive

WordNet sense 7 (direct toward itself or oneself by means of some psychological power or physical attributes):

attract, draw in, pull in

WordNet sense 8 (cause to move by pulling):

force

WordNet sense 9 (strip of feathers):

pluck, tear, deplumate, deplume, displume, tear

WordNet sense 10 (remove, usually with some force or effort; also used in an abstract sense):

extract, extract, draw out, pull up

WordNet sense 11 (take sides with; align oneself with; show strong sympathy for):

root, side

WordNet sense 12 (a slow inhalation (as of tobacco smoke)):

drag, puff

WordNet sense 13 (the act of pulling; applying force to move something toward or with you):

pulling

WordNet sense 14 (strain abnormally):

overstretch