Well, it depends on how you do it.
No, there is no way to totally pre-decide what the Pokemon's ability will be, however there are ways to find out what your opponent's ability is.
An ability you can use is Trace, which you can find on Mega Alakazam, the Ralts line and the Porygon line. So just go around with a Trace Pokemon leading, and find your Suction Cups Inkay. Good luck!
Hope I helped. :)