The short answer is yes. The long answer is not very complicated, it just involves time dedicated to both disciplines. Why should the violin/fiddle be any different than any other instrument on which disparate styles are played?

I regularly play guitars with a violinist, classically trained, stellar sight reader, who had the advantage of an upbringing influenced by old-time, bluegrass, and other traditional styles. The net result is versatility. Classical, swing, celtoid, old-time, bluegrass...It's really a lot of fun.

Peace, Mooh.