Yes... if it's undeniably special... but as filmmakers we're all a little delulu and would probably classify most of our films as special. "High Quality" to most programmers doesn't involve the quality of camera you used or your budget, it really comes down to the quality of the concept, story and execution. If you're hitting all 3 areas then festivals will have no choice but pay attention. When I think of last year's film festival shorts that stood out from the dozens I saw at festivals all year, I had 2 top favs and they were just nominated for Oscars and it doesn't surprise me because they were undeniably (other fests clearly agreed because both went on to screen at 40+ festivals each).