Snow Every Month Of The Year

Would it be possible for it to snow in one location every month of the year in a place that has a true fall, winter, spring and summer?  It's a stretch, but Syracuse is one city where I could see the temperature being 80 degrees on June 1st and 30 degrees on June 30th.  The past three winters have not been all that bad.  Truthfully, I expected much worse from those infamous Syracuse winters.  But like I said before, the snow really did dump from the sky during my last winter as a Syracuse University student, and it's not over yet.  But today, we woke up to 18 inches of snow, and apparently it was the first time in 15 years Syracuse University canceled classes.  My beach car needs a little sand...