Re-fishing a broken wire
If it was installed remotely correctly this is unlikely to work.
Even if it was not done remotely correctly it's still unlikely.
The cables should be stapled or otherwise fastened, which precludes pulling them out.
Even if they were not, the &quot;bundling&quot; of several cables would make pulling one of those cables out of the bundle difficult.
Indeed, even when a single cable is run through holes in studs/joists it's very hard or impossible to pull that out from one end, particularly if the holes were not perfectly aligned.
I would suggest that you start by disconnecting both ends of the cable in question and perform some basic tests on it with a meter, to verify that your guess that a break in the cable is the cause of the problem, before going any further. You may well be chasing the wrong problem. Or looking at the wrong cable.