Technically, no. I might argue that the vast majority of computers made in the last 30 years come equipped with network capabilities and are, in fact, connected to the internet.
Generally, if you’re using a well-known, commercial operating system, your computer will “need” to connect to the internet so transmit your delicious personal and usage data to the OS’ home servers for definitely not invasive purposes.
The list above, however, is not of general or technical usage, but of my own pet peeves. Also, it’s half joking 😉