To the TS, why don't you just apply all and see what you get?

I have friends in FO who have never attended networking sessions but yet get called up for interviews.

Instead of day-dreaming or asking if you have a chance, just whack and see what you get? It's similar to applying to an ivy league school. If you're an average, and not genius level candidate, sometimes you get one school but not another. Say you get Brown but not Cornell and vice versa.

Just apply all and prepare like mad for interviews. Of course, if you can network your way inside, that would be best.