Rolling diaphragms are nothing new.
The shaft connected to the rolling diaphragm projects through the housing (unlike the image shows). You generally pressurize the fluid through the shaft. Creating a vacuum on the fluid can cause the membrane to invert; cycling through full stroke can reset the membrane.
The image was captured from https://www.belloframdiaphragm.com/diaphragm-operation
Using something like this, you can have an unpressurized source, pressurize a small volume using this device, and at the end of stroke, draw in more fluid and repressurize. Flapper valves or one way valves allow you to control the direction of flow.
Whether your fluid is compatible with the membrane requires contact with the manufacturer.
Pressurization would be limited by the capability of the membrane.
Just an idea.