pull back vs back off

pull back and back off both are verbs.

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

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

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

pull back (verb)	back off (verb)
make a retreat from an earlier commitment or activity	move backwards from a certain position
move to a rearward position; pull towards the back	remove oneself from an obligation
stretch back a bowstring (on an archer's bow)
use a surgical instrument to hold open (the edges of a wound or an organ)
pull back or move away or backward