Yes, however the odds that the Pokemon you pick is shiny are 1 in 8912 and there is no way to reduce that without cheating.
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Luck. You have a 1 in 8,192 chance of your starter Pokemon to be Shiny.
No, simply save your game right before you choose which starter pokemon you want. But be warned you can spend several thousand restarts searching for a shiny starter..
It's possible yeah.
No. Professor Oak won't give you a shiny Pokemon. he'll only give you a choice of three starter Pokemon at the beginning of the game.
They are different colors than the normal ones and when you send it out you will see a circular pattern of sparkles.