Yes you can! from mirror B, he should usually be in the pyrite colosseum and as you beat the game he should advance to regalm tower colosseum
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Yes, it does, but only in Pokemon XD: Gale of Darkness.
You can't steal Pokemon however in Pokemon colosseum and Pokemon xd gale of darkness you can snag shadow Pokemon from trainers.
You can catch Larvitar at the Rock PokeSpot on Pokemon XD for the GameCube,You can trade it onto Sapphire after you've beated XD001 (Shadow Lugia)
You cannot get Shadow Lugia on any game except Pokemon XD: Gale of Darkness without hacks (AR is not a truehacking device).
i don't believe so. the only way you can get a shadow lugia is on xd gale of darkness. and even then, you cant trade shadow Pokemon to gb/ds games. you have to purify them first.