Maybe? The main constraint would be that at GC you need to get under the Blue Line, and since the distance between Park and GC is quite short it might not be possible to do that with a reasonable grade, although I can't find a proper diagram of the depths of everything at GC so it's a little hard to answer this definitively.
The second question is what is the goal? Quad-track is nice and all, but what exactly is this meant to accomplish? The B/C branches (And a hypothetical restored A branch) only really need to go to Park St IMO. If we're really worried about the BL transfer there are better alternatives like a connecting pedestrian tunnel between Park and GC or even BL to Kenmore. If it's expanded service to the GLX branches, the main capacity constraint is that it's a branched service that converges on double track to go through Cambridge and across the Lechmere viaduct. Taking terminating GC trains out of the way might improve things a bit, but I'm not sure it would justify the cost which could end up comparable to BL to Kenmore, assuming we're willing to sacrifice Storrow.