Anti-intentional Art

From a student's paper: "[in new media pieces,] interactivity should be allowed so long as it doesn't undermine the artist's intent."

Is it possible to create a piece that has the sole purpose of undermining the intent of the artist? Or is that a contradiction? If it's a contradiction, there must be a gray border nearby where the piece has intention and demands an anti-intention as well. Perhaps this is one way of classifying games without goals?