Yes, I do.
The difference is that Culture is mostly a verb, while Society is not.
What I mean to say is that both Culture and Society are systems of Human agency that have come about in order to connect, give meaning to, support, and define the world around Human Beings. However, Culture is best understood as everything pertaining to that (stated above) which resides purely in the abstract (psychological and memetic) framework, and Society is best understood as all those things which contribute to the above in terms of physical relationships and how we put or cultural abstractions into practical use in the world.
Something like a dance.