I hate the water / electricity analogies because they don't make sense.
Voltage is not like water pressure. If you have a high water pressure, water will inexorably be pushed through the pipe to relieve the pressure. That's so regardless of whether the pipe is 1 inch or 1 yard in diameter.
Voltage on the other hand means nothing without current. A high voltage on its own - like static electricity - will not move many electrons through the conductor.