you can using cheats,trade or using pal park but without 1 of those 3 u cant
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you can`t catch kyogre or groudon or both of them without linking them from sapphire, ruby or emerald version.
After catching Kyogre, obtain a Groudon from a friend with Pokemon SoulSilver. You only need the Groudon temporarily. Talk to Professor Oak with both in your party, and Professor Oak will give you the Jade Orb to catch Raquayza.
You show it to Professor Oak. After that, he'll ask you if you can obtain a Kyogre, which is only available on Pokemon Heart Gold. Once you obtain a Kyogre, put both Groudon and Kyogre in your party and show it to Professor Oak. He'll give you the Jade Orb, which enables you to catch Rayquaza.
You have to have both Kyogre and Groudon. You get the Red Orb from Mr. Pokemon to catch Groudon in the Embedded Tower. In addition, the Groudon has to be from SoulSilver and the Kyogre must be from HeartGold. Show them to Professor Oak for the Jade Orb to awaken Rayquayza.
Nothing, you'll need someone that has HG so he/she can trade to you Kyogre and with both of them you can catch Rayquaza.