No, Because the water circulates through the coil in the hot water cylinder.
Where a cylinder stat is fitted, I.E a thermostat that controls a motorised valve that stops flow of hot water through coil, a by-pass should be fitted. this by-pass allows the free flow of water if all zones are satisfied.
This is normally the radiator in a bathroom or the flow and return linked at cylinder.
Cylinder stats are rare on older systems.