back off vs draw back

back off and draw back both are verbs.

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

As verbs, draw back is a hypernym of back off; that is, draw back is a word with a broader meaning than back off:

Other hypernyms of back off include move back, pull away, pull back, recede, retire, retreat, withdraw.

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