No, the 3 buttons, plays each one the same fill without regard to the variation is currently playing. In the style edit mode you have the option to edit only Fill1 / Fill2 / Fill3 tracks so the fills are only 3. This is really a shortcoming, I found on the Pa1X many styles that have fills that do not sound well when played with some variations, specially Var1. Since the style structure hasn't changed in Pa2X I think it will have the same problem.
Roland by contrast, uses a FillDown - FillUp concept that produces smooth transitions, and provides 6 fills for each style.