My Kurzweil K 2600S can do this.
(you need to have the sample option installed since you want to use samples made on other machines)
Don't know about other synth's but as long as there's a midi-sequencer and a possibility of loading samples on board , it should be possible to do that within one board.
Ofcourse the style needs to be sequenced first. You did not mention that you want to play styles in realtime which is one step further...

If you want to play styles in realtime on a keyboard and let the custom made samples or loops go along with your playing in realtime, you need an arranger keyboard with the possibility of loading loops and custom made samples controlled by midi.
I am not sure but if I recall the Gem Genesys can do that.
The other possibility is ofcourse just attach a sampler to an arranger keyboard and you're all set.
Fred