Yes, Cartomancy can predict the future, but this can also depend on the reader. You should remember that the future is subject to change due to people’s free will. With that in mind, Cartomancy has predicted the future many times, which is why the practice is still so widespread thousands of years after it was invented.
Additionally, the cards used in Cartomancy are mostly interpreted in a fortune-telling fashion. So, it is obvious that the premise of the practice is to predict the future based on the types of cards that appear during a reading. But, whether the cards are accurate should be left up to your personal experience with the practice.