Green’s Dictionary of Slang

(Aus./US) to annoy.

1914		Bulletin (Sydney) 29 Oct. 14/4: This ‘fed up’ the skipper, and he left New Guinea, only staying his flight to inspect a snow-covered volcano 30,000 feet high.
1939		R. Chandler ‘Trouble Is My Business’ in Spanish Blood (1946) 200: Ten minutes of opening and shutting drawers and looking at the backs of shelves [...] fed them up.