I’m afraid the John Titor you’ve always wanted to talk to had already completed their mission since it’s been 16 years ever since his disappearance from the web. Of course, there are other John Titor instances out there, but not all of them can be proven nor disproven to be another John Titor from another world line. Trust me, I’ve tried my luck and they were not able to reply to me when I sent a message to him on the original Time Travel Institute forums. Remember that their mission was to retrieve an IBM 5100 for debugging legacy computer programs in 2036. And given the infinite amount of world lines out there, we can never actually talk to the real Titor as his actions on retrieving an IBM 5100 may have caused a drastic change in our world line, or maybe not.
Overall, you might get the chance to speak with John Titor, but that John Titor would most likely be a different instance of the previous Titor.
One more thing: You seem to have gained an interest in these topics due to Steins;Gate, am I correct? Keep in mind that Steins;Gate is based on how the creators interpreted these concepts so try not to use it as a reference. As a fellow fan of the series however, I highly recommend that you play the visual novel~ You would be able to understand even more things in there when compared to the anime. It took me 60 hours to 100% complete the visual novel, but it was worth it~ Trust me in this one~
If you would like to have a discussion with me, feel free to send me a message~ Your enthusiasm in learning more about these is what the world needs~ I won’t disclose my e-mail address for security reasons though, but don’t be shy on chatting with me via the message system here in the forums~