Are there maneuver options for non-combat skills?

My GURPS GM complains that the PCs put a point or two in most skills, except for combat skills which get 10-20% of our character points. Aside from the fact that he asks us to make more combat checks than all the other skill checks combined, I’m convinced that part of why we do this is because there are more things to do with high combat scores. I like rolling against a 13 or 14. That’s where most of my skills end up. My weapons skills are usually around 20, so I’ll make a deceptive attack or a head shot or something, bringing the target down to a 13 or 14. There are enough combat maneuvers that apply a penalty that it’s fun and interesting to have a high stat, which enables us to use those maneuvers.

Do non-combat maneuvers exist in GURPS? If so, where can I find them? Will they let me take a -4 to my Carousing skill in order to gain some benefit if successful? And, just for speculation’s sake, might they help my group find reasons to justify putting more points in non-combat skills?