Green’s Dictionary of Slang

(US black) exhausted, disinclined, bored, e.g. I’m too drug to go out tonight.

1944		D. Burley N.Y. Amsterdam News 2 Dec. 16A: [He] was really drugged when the mink-coated, banana-skinned lovely [...] started eating peas with her knife!!!
1946		Mezzrow & Wolfe Really the Blues 13: Somebody would start chanting a weary melody over and over until the whole block was drugg.
1959		L. Lipton Holy Barbarians 27: Before I light up I’m drug with [...] ten thousand things.
1960		‘Lord Buckley’ Hiparama of the Classics 12: Drag not, and Thou Shalt not be Drug!
1961		Rigney & Smith Real Bohemia xiv: drug a person who is bored is ‘drugged’.
1963		M. Braly Shake Him Till He Rattles (1964) 12: They’d grown drug with blowing for one drunk (who at the end of each tune re-requested ‘Red Sails In The Sunset’).
1970		A. Young Snakes (1971) 35: Some of them silly bitches can get me drugger than a motherfucker.
1982–2004		G. Sculatti Catalog of Cool 🌐 drug (adj.): (From the past tense of drag). Worn out, tired. ‘I’m too drug to climb those twenty flights just now,’ said Eddie.