Is it possible to ride English and Western?

I currently ride English in Dressage, Hunter, Cross Country, and Show Jumping but I happen to have a foundation Quarter Horse that is NOT meant for English, but Western. Normally I would sell her but I am fairly interested in learning some Western sports such as reining, pole bending, and barrel racing, but I don't want to stop riding English. If I began riding Western as well as English, would it disrupt my English riding? Not time-wise, but how I rode? Do you know anyone who rides English and Western?