Green’s Dictionary of Slang

hard-up n.3

[var. of hard-on n. (1)]

an erection.

[US]D. Goines Dopefiend (1991) 89: [He] couldn’t get a hard-up.
[US]Maledicta IV:2 (Winter) 195: The erect organ is specifically indicated in hard bit, hard mouthful, hard-on and hard up.