Green’s Dictionary of Slang

no-soap adj.

[no soap phr.]

hopeless.

[US](con. 1920s) J.T. Farrell Judgement Day in Studs Lonigan (1936) 662: He was just an all-around no-soap guy.
[US]R. Campbell In La-La Land We Trust (1999) 117: After an hour it was still no soap.