hatchet man vs iceman

hatchet man and iceman both are nouns.

Word	Noun	Adjective	Verb	Adverb
hatchet man	Yes	No	No	No
iceman	Yes	No	No	No

As nouns, hatchet man and iceman are synonyms defined as:

hatchet man (noun)	iceman (noun)
one whose job it is to execute unpleasant tasks for a superior	someone who cuts and delivers ice
a professional killer	a professional killer