A hurricane is a chaotic system. Hurricanes cause a lot of damage, and we spend a lot of money trying to predict them. We monitor them with satellites and aircraft and balloons, etc. We gather huge amounts of data and use supercomputers to model their paths.
When you look at the predictions, they are pretty good in the immediate future, but the predicted path is a fan shape, the uncertainty grows rapidly with time. That is the nature of chaotic systems (which is pretty much everything in nature).
Hurricanes are "deterministic", sure. Air obeys rules. Hot air always rises, air always flows from high pressure to low pressure, etc. But that does not mean hurricanes are predictable- we can never gather enough data or model it precisely enough to make anything other than a short-term prediction (that rapidly degrades).