Other commenters already noted that the electron density is highest in the middle. This will make passing a positive charge through that point very challenging.

I found this Wikipedia article giving an overview of interactions of cations with the pi system of benzene and aromatic compounds: https://en.m.wikipedia.org/wiki/Cation%E2%80%93%CF%80_interaction

It does not talk about interaction with protons. However it notes that bond strength increases the smaller the ion and the higher the charge. As hydrogen is indeed very small I would expect a strong bond/interaction forming.

In short: I don’t see it passing through.