If gravity slows the effects of time, then empty space will see greater expansion than space inhabited by massive objects. So the space within a galaxy will be expanding more slowly than the space without. Maybe the effect is minimal, but in cosmological size and time frames, the effect could be significant? (A presumption I'm making)
Space is also expanding faster than light
There's also the missing mass problem. Scientists haven't been able to fully explain why galaxies don't fly apart because they're moving faster than they should be able to, though there are some explanations and also this
But I haven't seen anything that has said any of those answers have completely solved the issue. Is it possible that empty space, expanding faster than massive space, could exert positive 'pressure' on galaxies?
Sorry I'm just a layman but I haven't seen anyone discussing this specifically.