Can a solar powered roof extractor fan be used to extract air from the room under the roof?

[schroeds]

Hi, I live in the top apartment of a small block, and the bedroom is on a mezzanine floor that's under the roof (ie there are no rooms above it just the flat roof). In Summer gets hot and airless up there... much hotter than downstairs. There seems to be a build-up of heat under the ceiling and my idea is to extract that so cooler air from downstairs can get drawn up to the mezzanine.

My question is could a product like this be flued into the ceiling (it seems to be designed to just extract air from roof cavities)

https://www.bunnings.com.au/quietcool-40-watt-black-solar-roof-mount-attic-fan_p0527126

If not this product, is there some other alternative?

Many thanks