If by "program", you mean something computable in the usual Turing-equivalent sense, and without access to a physical random number generator, then the output i

If by "program", you mean something computable in the usual Turing-equivalent sense, and without access to a physical random number generator, then the output is always trivially predictable by recreating the initial conditions somewhere and running the program. However, the prediction may take as long to compute as the real output. There is no general faster way to predict the result (see halting problem).