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Old October 28th, 2012 (02:29 PM).
Alaka-Z's Avatar
Alaka-Z
Unhatched Egg
 
Join Date: Oct 2012
Location: United Kingdom
Gender: Male
Nature: Quiet
You sort of can. In B2/W2, after conpleting the national pokedex, Professor Juniper gives you an item that increases shiny encounter rate. Also, there is the masuda method in gen 4/5-Breed your pokemon with one from a different language game, and the offspring has a higher chance of being shiny.
Those are the only affecting factors I think-
Its up to chance-Only 1/8192 Pokemon are shiny without either of the above methods.