Only Western Australia, and that's extremely unlikely.
Sorry.
You could delay Federation a few years- maybe even a decade or two, if that helps? The unifying forces were just too strong to put off much longer, I'm afraid. There was a decently active anti-Federal force in the Labour movement, but that was increasingly losing steam because Federation was seen as just that important to secure a common security and especially immigration policy.
The Anglo-Japanese Alliance is about to give one hell of a fillip to both, and if that doesn't the Great War will- you might think that that would help local colonial identities, but nothing of the kind happened with the South African War so it's not reasonable to expect anything different, especially since a larger war would require much more intercolonial coordination.
Once you have Federation, no one wants to secede. Western Australia has an extremely limited window when separatism was a truly serious force, and that required extremely favourable conditions that weren't enough to overcome the fact that neither London nor Canberra had any reason at all not to just ignore it.