No, you cannot take a wrong picture. Every picture has own unique style that adds to the photograph and it does not need to follow the general rules of photography.

No, context is not important in a photograph because the context shapes what the viewer sees. if there is no context then the viewer is free to interpret whatever they might see in the photograph. When I first saw the photograph without the wrong I didn’t realize  that there was anything different about it. But when  the image expanded and revealed the wrong I looked closer at the image and noticed several things “wrong about it”.