break off vs come off

break off and come off both are verbs.

Word	Noun	Adjective	Verb	Adverb
break off	No	No	Yes	No
come off	No	No	Yes	No

As verbs, break off and come off are synonyms defined as:

Other synonyms of break off include break away, chip, chip off.

break off (verb)	come off (verb)
prevent completion	happen in a particular manner
interrupt before its natural or planned end	come to be detached
break a small piece off from	break off (a piece from a whole)
break off (a piece from a whole)
break a piece from a whole