Green’s Dictionary of Slang

catch action v.

[catch v.1 (2e) + action n. (1)/action n. (12)]

to seduce.

[US] ‘Sl. of Watts’ in Current Sl. III:2 14: Catch action, v. To find available and willing young ladies.
[US]E. Folb Runnin’ Down Some Lines xviii: Le’s [...] dig on the young ladies, try an’ catch. [Ibid.] 137: The endgame in much male-female exchange is to [...] catch action.