No. It is an event pokemon, or you can hack it which I don't recommend.
Sorry, but you cannot capture or find a Mew in any games. The only way to is to get it by event, or use Action Replay. But to cheer you up, you can catch MewTwo in Heartgold/SoulSilver.
You cannot find Mew in HeartGold or SoulSilver. The only way to get Mew is to trade it from another game, or to use PalPark.
To get a Mew in Pokemon Heartgold, you could do it through a Nintendo Wi-Fi event.
Yes you can if you have Mew in your Pokemon SoulSilver/HeartGold You can put Mew in the Pokewalker.
You cannot get a Mew. Mew is a Pokemon only obtainable by events. Since there were no Mew events for HeartGold or SoulSilver, you cannot get one for your game. However, you can get a mewtwo in Cerulean cave after completing the game.
Mewtwo can be found in the Cerulean Cave in HeartGold.
you don't
No, you cannot currently get Mew at Gamestop stores for Pokémon HeartGold or SoulSilver.
Mew cannot be caught in HeartGold. Mew cannot be caught in SoulSilver, either. The only two ways you can get Mew are by trading for it or by getting one through a Nintendo event. It will be easier if you trade for one.
Capture Mew!
you cant for heartgold or soulsilver suckers
You cannot naturally get Mew within Pokémon HeartGold. Mew is a distribution-only Pokémon and the distribution in which it was available to players is no longer available. The only other legal way to acquire Mew is by arranging a trade with another player that would have Mew.