Nope.
Doesn't go in either way round with the cartridge attached if you want to put the lid on and that's without the little stand and the converter to use it as a stove.
Even if you decided to live without those bits, you'd also have to keep the wire from the on/off tap folded under the stove, as that wouldn't fit in otherwise. That would mean undoing the cartridge to use the stove, or of course unclipping it and having tried doing that, then clipping it back on, it's more of a faff than just unfolding it and screwing the cartridge one the normal way. You'd also risk losing the tiny bit of wire too.
I don't know if some of the 100g canisters are flatter / smaller than mine though....but is it worth it?