Your Tyros can do the same thing.
You can "copy" lets say just the electric bass from main A of the hard rock style and "paste" it in the hiphop style in main C and then change the sound from electric bass to trance bass for example.
Its an easy way to combine patterns from one style to another without worry if the pattern is correct when you play the chords and doesn't take too much time.
As long it is a yamaha pattern it is correct when you choose organs of similar category.
(e.g. use the bass pattern as something that the notes were written for a bass could play.
So better not choose to change the sound from bass to saxophone or violin because some chords may sound strange and you need to go to the parameter tab to adjust some things that only few can tell for sure
).
This feature of Yamaha's keyboards is called "Assembly" and is in the style creation folder.
1.Function
2.F letter (Digital rec menu)
3.B letter (Style Creator)
4.Press right tab and now you are at the Assembly tab.
Search the forum for topics with style creator.
For new psr series,tyros series (and i guess genos too) the style creator function is the same.