Green’s Dictionary of Slang

sucked adj.

(UK Und.) (very) drunk.

[UK]G. Andrewes Dict. Sl. and Cant n.p.: Suck’d drunken.
[UK]Flash Dict.
[UK]G. Kent Modern Flash Dict. 32: Sucked – devilish drunk.
[UK]Flash Dict. in Sinks of London Laid Open [as cit. 1835].

In phrases

sucked up (adj.)

(US drugs) suffering the effects of smoking crack or ampetamine-type drugs.

[US]J. Stahl Pain Killers 243: The black crank fanatic trying to snatch the pipe was just as sucked up.