I would argue that the Internet as a concept has existed for decades (if not a few centuries), and it's damn hard to avoid the concept evolving into the internet as we know it today.
For centuries, you've had people transmitting messages by signs over long distances, whether that is fire signals, flags or whatever.
With electricity, this evolved into sending the same messages by electric telegraph. By this point, it's already a primitive internet; messages are essentially coded in to 1s and 0s, and transmitted along an electrical wire to the next hub. The hub reads the message, and transmits it along the next cable to the next hub until it reaches it's destination. This is already a de facto packet switched network; essentially exactly how the internet works (although TCP/IP would bring much better addressing to allow quicker routing of messages from A to B).
The internet as we see it is best eliminated by removing computers from the timeline, as the internet itself is merely a communication mechanism, the latest form of a concept that has existed for ages.