Is it possible to be gluten intolerant but not have celiac?

I have been told that I do NOT have celiac disease, but I have all the symptoms of it. I have known for several years that my body doesn't tolerate wheat well for numerous reason, so I normally avoid that, but I have been having so many of the problems that I had before I discovered the wheat intolerance and my doctor doesn't know what to tell me except to refer me to a GI specialist.