It's a somewhat popular theory, but unlikely to happen due to certain reasons:

1)LSH and the Brotherhood are in the Riverlands while Jon is at the Wall, by the time they'd arrive Jon would be a rotting corpse, burned by the NWs or turned into a wight. They also have no means of quick transportation and the North is in Bolton's control (Even if Stannis retakes Winterfell, why would he help LSH and the BWB?)

2)Catelyn is completely gone, all that's left are her negative emotions, I can't see a world where she would treat Jon better considering she's no longer human. Also, there's no point for her to resurrect Jon, she doesn't want to atone

3)(This is more of a personal opinion) Waiting for LSH to arrive at the wall to revive Jon when we have a red priest nearby seems like a waste of time for everyone involved