dream up vs hatch

dream up is not a noun while hatch is a noun.

Word	Noun	Adjective	Verb	Adverb
dream up	No	No	Yes	No
hatch	Yes	No	Yes	No

As verbs, dream up and hatch are synonyms defined as:

Other synonyms of dream up include concoct, think of, think up.

dream up (noun)	hatch (noun)
	a movable barrier covering a hatchway
	a sloping rear car door that is lifted to open
	shading consisting of multiple crossing lines
	the production of young from an egg

dream up (verb)	hatch (verb)
devise or invent	sit on (eggs)
	emerge from the eggs
	draw, cut, or engrave lines, usually parallel, on metal, wood, or paper
	devise or invent
	inlay with narrow strips or lines of a different substance such as gold or silver, for the purpose of decorating