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.
A larger pipe will push more water at a lower pressure like a low resistance wire will move more energy at a lower voltage.
How do you propose you have voltage in a conductive medium (pipe) without current?
To me, it's not a bad analogy (nevermind you that electrons flow the opposite direction of current) - and I am well-versed in physics.