@awnlee jawkingIt is possible, as the prevalence of prominent veins is an indication of just how erect it is. Thus, with a partial erection, there would still be visible veins, though they'd be much less prominent.
Remember, with an erection, part of the whole 'cum quick' fascination for guys is that the valves allowing for new blood is cut off, so if they DON'T come quickly, they could lose a particular, treasured yet small appendage. That's where the adage "if you have an erection for over three hours, consult a physician IMMEDIATELY!" Gangrene of the dick is no laughing matter! ;)
Still, you can get someone just as pregnant with only a partial erection as you can with a full erection—just as you can get someone pregnant with only precum (the body's natural lubricant) as enough actual semen WILL seep into the precum to potentially cause issues. All those veins are interconnected, and while you can't pee with an erection, other fluids can travel along the same path.
Still, the risks of getting pregnant in a hot-tub that someone else jacked off in is actually far likelier. (Basic 7th grade health class overview.) After all, with incest, even pregnancy risks are relative. ;)