I don't know how Korg style files are formatted, or whether they strictly use MIDI tracks or can also include audio tracks. But as far as I know-- which is based primarily on some knowledge of Yamaha style files and some hearsay about Casio rhythm files-- most style files are simply MIDI tracks that have text markers in them to indicate where the different sections begin, along with one or more proprietary data chunks that the manufacturer uses to store various control parameters related to the style.
Most MIDI programs will import the MIDI portion of a style file and simply discard any data chunks that they aren't programmed to recognize, so one possibility might be to import the style file into a DAW, then see if you can trigger the different sections of the style using some sort of pad controller, or maybe just the computer keyboard. The tricky part would be chopping the imported style into separate tracks and loops based on the text markers, which wouldn't be too difficult except that some of the sections are intended to loop indefinitely, while others are intended to play once and then either segue to another section (usually a specific looped section) or stop (i.e., an Ending section). So the tricky part would be figuring out how to handle all of that within the DAW's capabilities and limitations. You might also need to figure out what additional MIDI data must be embedded within the tracks and loops to compensate for any information which normally comes from the non-MIDI data chunks.
But perhaps the biggest problem is that most styles are designed to play different chords and bass/melody notes based on which chords you're playing in the keyboard's accompaniment zone, and that logic is performed within the keyboard itself as controlled by the special parameters in the style's non-MIDI chunks.
Note that there are computer programs which are specifically designed for working with (auditioning, editing, creating, or converting) style files from various companies-- Yamaha, Casio, Korg, Roland, Ketron, etc.-- but in general such programs are not free, and can be rather pricey. Most DAWs are also not free, although some do have free lite versions available.