Certainly it seems impossible to construct a device that could capture the state of a system of which it was a part, to me that's the paradox of the watching TV/listening to the radio prediction - it transfers information from the model into the system it models.

However perhaps a device which could capture the state of a defined system, model it and monitor its boundary as a means of prediction would be possible? The question is could it be possible to capture the state of a system at a single instant and without altering the system?