A person, yes. Hundreds of people with a 100% success rate? Now we're talking supernatural.
If the Predictor did an interview with people beforehand, and if they committed themself to picking box B without checking, and the Predictor was able to accurately predict which of those people were telling the truth (which is plausible) then I would do that, commit myself to box B and then take that without checking.
But I'd want to see his prior track record.
If the Predictor did an interview with people beforehand, and if they committed themself to picking box B without checking, and the Predictor was able to accurately predict which of those people were telling the truth (which is plausible) then I would do that, commit myself to box B and then take that without checking.