Yes. Statistics are fragile indicators well beyond the Central Limit Theorem minimal sufficient boundaries. They work pretty good when you have tons of data and run tons of repetitions, but for moderate sized data and repetitions you need very high certainty levels for statistics to help much.

You can play perfect blackjack and card count at a table with good rules and lose plenty because your advantage is small (< 2%) and your repetitions are limited.

Statistics get even worse when the probabilities are chained because the weakest estimator bounds the rest.

Essentially, if you always follow statical advice you should do better than average, if you're lucky. There are better heuristics than statistics in most fields of human decision making.