DO NOT, I REPEAT, DO NOT jack the subfloor without jacking the joists!!!!
That would be a disaster!
The first thing is that if you have screws into the joists (unlikely, but possible), you would tear them right out.
The second, and significantly more important item is that your floor system acts as a deep horizontal beam to distribute lateral loads (wind, seismic, unbalanced lateral earth pressure) to the lateral force resisting elements (shearwalls). This relies on a specific plywood thickness, joist width, nailing pattern, etc. If you start messing with that, by providing a gap between the joists and the plywood then you are undermining part of your LFRS.
There would be a way to do this, but you should really hire an engineer to spec it for you and not have a go at it yourself. If you want to do it yourself, jack the joists and not just the subfloor.
Structural Engineer