Linguists e.g. Chomsky: No you can't. Proof is left as an exercise.
Also, the ability to understand language is a spectrum, not a binary quality.
Algorithms necessarily contain some knowledge about the data they are working with so that isn't cheating. Neural nets for example have to have some architecture and that predisposes them to learning certain patterns.
Chomsky's argument is exactly the opposite, that vocabulary is learnt from scratch, but that the framework for grammar is innate.
Rather conclusive one already established in the ML field.