In short, yes. Both jump and dressage styles can be used on any English saddle.
The reason they are labeled as jump and dressage is for the length of the wide portion. Dressage sizes have 2" more length of the wide portion to accommodate longer dressage flaps.
For best results, you want the entire flap covered by the wide portion of the leathers. This means black dressage sizes work perfectly on jump saddles. But brown jump sizes may not be as ideal on brown dressage saddles.