The Netherlands uses the largest and most powerful dredging ship in the world, The Queen of the Netherlands. Each of the dredging pumps are 8,000 horsepower (6 MW) and there are two of them. Even the short-range ship-to-shore connections used by container ships are in the 2 MW range. Running "wires" would be ambitious.
> Running "wires" would be ambitious.
It’s definitely possible, I don’t have an in depth knowledge of ships connected to shore power with cables, but if the distance isn’t too great, it seems possible.
Raising voltage lowers the ampacity to allow for smaller conductors.
6MW at 7200V is only ~500A, 6MW at 13.8kV is only 250A.
There are massive electric powered hydraulic mining machines that operate connected to power cables.
Those giant bucket wheel excavators are also electrically powered, by cables. And they use up to 16 MW, so I wouldn't call it completely unrealistic.
Of course running them over some dirt is easier than through possibly moving water, but still.