draw back vs back off

draw back and back off both are verbs.

Word	Noun	Adjective	Verb	Adverb
draw back	No	No	Yes	No
back off	No	No	Yes	No

As verbs, back off is a hyponym of draw back; that is, back off is a word with a more specific, narrower meaning than draw back:

Other hyponyms of draw back include fall back, retreat, retrograde, back down, back up.

draw back (verb)	back off (verb)
use a surgical instrument to hold open (the edges of a wound or an organ)	move backwards from a certain position
pull back or move away or backward	remove oneself from an obligation