I think you need to be clear about what you mean by "voltage flow".
In the case of a charged capacitor, would you really say that a voltage is flowing? Where is it going?
You would usually talk about a current flowing.
In the capacitor example, while it is charging, a current does flow - even though there is literally a break in the circuit. Can you see how this can be?
It is technically possible to have a signal represented as a voltage changing with time and position along a wire.
In this way it is possible to set up a traveling voltage wave in the wire - so, in this sense a voltage can be said to flow.
It is possible to send such a wave down a wire that is not connected to anything just like you can send pressure waves down a pipe.
When you start out learning about electric circuits, you are usually learning about the special case of DC steady-state circuits.
The current and voltage you are no doubt used to are defined with that situation in mind, and, in that situation, no electricity flows when there is an open circuit.