I've caught three carp, one was with a clouser, the second with a wooly bugger, and the third on a dedicated carp fly (Houston Fly Fishing's brass hawk). All three times I carefully casted past a carp feeding on the bottom and dragged it near them, they turned and took it. I don't think the fly you throw matters as much as your presentation and the carp's state of mind. Carp are omnivores, so if they're turned on, feeding, and you don't spook them, they will probably take just about anything. One thing I will say about the brass hawk is that it stands up on the bottom hook up, so it is easy for a rooting carp to inhale without it snagging on a rock.

With that said, my above paragraph didn't mention the 100+ times I spooked carp either with a poor cast, crossing line above them, or they just saw my fly and weren't interested.

Definitely give it a shot, I will say you should spend some time and pay attention to what they're eating. If you can replicate it, you might as well get as close as you can.