Is error possible in weather predictions?

Answer 1

Not only possible, but certain. Weather predictions are wrong more than they are correct.

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Not only is it possible, it is inevitable that there will be errors in weather predictions.

The atmospheric physics that controls weather is what is called a "chaotic system" or a "deterministic chaotic system". What this means is that the physics while "deterministic" (i.e. future states can always be determined exactly if the current state is known exactly) but the behavior of the system looks "chaotic" (i.e. unpredictable), because the current state can never be determined exactly and after enough time the state of the system is ultra sensitive to indistinguishably different current states resulting in wildly varying future states.

So, no matter how hard you try to make a correct weather prediction, at some point in the future your prediction will be completely different from the actual weather at that time. You will be wrong.

Answer 2

yes