I wouldn't advise it. There's tons of crap down there, parts, hooks, wires gobs of wires, engines, oil, knives, pilings with sharp items on them, people dropping anchors, bottom-dwelling creatures, power lines, and of course, giant dock-dwelling man-eating squids.
As for the power lines, these will most definitley light up your day if you mess with them or if they are messed up. Docks often have all kinds of plumbing and wiring running underneath the walkway out, which then spiders out on all of the crosswalks. The staples holding these up rust. The cables fall down, and more often than not it's not great wiring to begin with. This could be real entanglement and electrocution hazard.
Some marinas (usually when they're on islands) have big power lines coming in on the bottom. These will usually be a few inches across, and be pretty stiff, sometimes spiralling up and back down. In blackwater, it's easy to grab one or go under one and get stuck or worse.
If you do choose to do it, ask, and be very very careful.