No. The chance of finding a shiny is "1 in 8192". On average, if you battled 8192 pokemon you would expect to see one shiny among them, but it doesn't mean you battle 8192 then you get a shiny. You could get a shiny on the first encounter.
It's all about probability. One way to think about it is like this: a number between 1 and 8192 is picked at random. if the number is 1, the pokemon would be shiny. If it's any other number (2, 3, 4... all the way up to 8191, 8192) then the pokemon is not shiny.
Hopefully you can see how it works, and that finding a shiny is very, very unlikely!