I am assuming that bridging is the cold in the outside brick layer being absorbed by the double glazing surround which makes it even colder and so more prone to condensation..is this correct..?
In most old houses with double glazing you get cold bridging around the brick surround to the window (the bricks surrounding the window, not the window frame itself), in most cases this is just due to poor installation, particularly in older houses. This is because you have the inner and outer block leaf, and the window is installed over the cavity breaching the (if any) insulation (either the window or non insulated plasterboard breaches over that cavity).
As to the window itself, I'm referring to the fact most double glazed windows are just cheap hollow PVC frames, and that they use metal glazing strips rather than more modern or expensive materials (this is the bit in the glazing unit that separates the two pieces of glass), the metal strips conduct rather than insulate, causing condensation around the edge of the window.
To me it just doesnt 'feel' like a low power fan blowing some air into the upstairs hallway will make a lot of difference!
It will work, it's just a matter of how many air changes will be required to make it work.
Firstly with positive air flow through the fan, you will be pushing air through gaps around windows (blow air over surface = you dry the surface, just the same as if you breath on a mirror = condensation, but if you then blow air onto the mirror with a fan = condensation dries). Secondly of course you will just be lowering the amount of moisture in the air.
However if you have cold bridging, nothing will stop condensation forming on cold surfaces (other than 0% humidity), in most cases it will reduce it to a level where it is no longer an issue, e.g. a bit of fog around the glass and possibly the brick/plaster adjacent to the frame of the window.
If you have an older house, and you think of having this installed, I would recommend having a very good look at places air can penetrate, you want the air only to escape through window/door frames and vents, and because it has to be a positive pressure, to many holes = excessive air changes.
In a 1930s house, that could be a bit of a task. Light fittings in ceilings, sometimes sockets, floorboards if it's a suspended floor, pipes (particularly pipes in airing cupboards leading into the loft). If you have air bricks, leave them, but you might restrict them.
Think of your house like a wind tunnel, (whereas at the moment it's more like a sieve, with air movement going any which way) . When you turn it into a wind tunnel, you want to create enough air changes to dry the air, but not so many you can't keep it heated, balance it right and you could actually make it more and not less energy efficient (marginally)