tramp vs cut across

tramp is a noun but cut across is not a noun.

Word	Noun	Adjective	Verb	Adverb
tramp	Yes	No	Yes	No
cut across	No	No	Yes	No

As verbs, cut across is a hypernym of tramp; that is, cut across is a word with a broader meaning than tramp:

Other hypernyms of tramp include cover, cross, cut through, get across, get over, pass over, track, traverse.

tramp (noun)	cut across (noun)
a long walk usually for exercise or pleasure
a commercial steamer for hire; one having no regular schedule
a heavy footfall
a vagrant
a person who engages freely in promiscuous sex
a foot traveler; someone who goes on an extended walk (for pleasure)

tramp (verb)	cut across (verb)
travel on foot, especially on a walking expedition	cut using a diagonal line
walk heavily and firmly, as when weary, or through mud	travel across or pass over
move about aimlessly or without any destination, often in search of food or employment	be contrary to ordinary procedure or limitations
cross on foot