No, but the experience can be. One person's experience listening to a classical composition may invoke certain grandiose images where another's may be a minimalist vision. One person watching Casablanca may be bored the first time, but many years later may find himself riveted.
The experience of art is a very dynamic thing which very seldom do two people share the same emotions towards. Video games are designed by nature to have many set things in them. One may argue about how a certain one has more of a non-linear approach, but in the end, someone still designed it with a particular goal in mind. It's only the user's experience with the game that ever makes it any different or changing.