Of course you can......the style creator feature will let you do all that and more ......mind you its not that simple, but its definitely a feature on almost all arranger KB's that hardly anyone uses to it's fullest potential......you can create a new style from scratch or reconstruct parts of existing styles, or mix and match parts from different styles also.
Your timing and playing must be impeccable to pull it off correctly but it can be done. Read more in the manual on this great feature.