carver vs statue maker

carver and statue maker both are nouns.

Word	Noun	Adjective	Verb	Adverb
carver	Yes	No	No	No
statue maker	Yes	No	No	No

As nouns, carver and statue maker are synonyms defined as:

Other synonyms of carver include sculptor, sculpturer.

carver (noun)	statue maker (noun)
an artist who creates sculptures	an artist who creates sculptures
someone who carves the meat
makes decorative wooden panels