PokéBase - Pokémon Q&A
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2 votes

Your Starter has exactly the same chance to be Shiny as any other Pokemon you encounter or receive.

So yes, you can with the normal chance of 1/8192.

Hope I helped! :) Source

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Thanks guys :D today I got a shiny Totadile in SoulSilver by soft resetting. :D
Cool! :D
I got shiny Charmander but it wasn't mine originally. I bought it from my friend for $5.
Hmmm... I could make a lot of money with PokeGen...:P
1 vote

Yes, simple as that.

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