Yes two ways by constantly grabbing your starter and if its not shiny turn off the game and try again or constantly breed your evolved starter with a ditto until the baby is shiny.
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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..
You dont
First, pick the starter then after you get it, check it picture to see if its shiny or not. If it is, good job. If it wasn't, good luck next time. The chances are very VERY slim to get a shiny starter.
It's possible yeah.