Yes. The photos in my trip report are all from 5/12/12. There is some snow on the trails but it is very manageable. The South Loop Trail seemed to have more snow than the North Loop Trail if you are looking to avoid it.
"After the first glass, you see things as you wish they were. After the second, you see things as they are not. Finally, you see things as they really are, which is the most horrible thing in the world."
--Oscar Wilde on Absinthe