IMO a chaotic system will not allow for long-term forecast, but if there is any type of pattern to recognize (and I would assume there are plenty), an AI/ML model should be able to create short-term prediction with high accuracy.
You also need to measure the exact amount of solar radiation before it hits these molecules (which is impossible, so we assume this is constant depending on latitude and time)
These errors compound (the butterfly effect) which is why we can't get perfect predictions.
This is a limit inherent in physical systems because of physics, not really a data problem.