If it is an audio recording forget it, but - and this is a long shot - if it is a midi, there might be a way to re create the style from the style parts. I dont actually know how, but someone might. When you play a midi you can press the mixer and see every channel including each style part channels. You could copy the midi, then delete all the other parts and just be left with the style parts. There might be software to make a style from a midi.
Mike