Impossible unless you cheat or hack.
The quick balls were made to catch Rare Pokemon that always ran away before a move was made.
Latios can fight, so you can either:
1) Use your master ball
2)Weaken him and make him sleep so you can catch him with a pokeball, great ball, or ultra ball or something like that.
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There aren't any quick balls in emerald as far as I know :(
You can find them in the pokemart in snowpoint city
You can buy Quick Balls at random stores, just try 'em all. Another way to get Quick Balls, and others, too, is to find a different Pokemon each day for the article man. He'll give you three balls per Pokemon that he asks you to bring him.
The only place you can find them is in the poke-mart in Pastoria City, by talking to the woman on the left.
the quick claw is in the Pokemon trainers school talk to the theacher and also you can find them in wild sandrews (steal them by covet of thief) mmm nothing more