Might want to go into more detail mate, by "all" Nord's do you mean all the Nord settlements as opposed to just half? They might, that being said half of Skyrim (the Stormcloaks) is having trouble beating a
single Imperial Legion (of which there are many Legions, kind of like divisions) so who knows. The Empire's forces are tied up keeping the Thalmor in check, that's why the garrison in Skyrim is so small and why the Stormcloaks haven't been crushed, if this was all happening several centuries earlier when the Empire didn't have another super-power to keep an eye on then they could just have flooded Skyrim with troops.