Still today, Linux does not require the internet, no OS does. As for which distro, I would recommend either choosing one that is as old as your computer or one of the more modern minimalist ones. As Zelda said, make sure you can install from CD since USB and even DVD may be a problem.

Do you need Internet to install Ubuntu?

You don’t need a network connection (certainly not to the Internet) to install packages stored on a CD. You can have used saved downloads done earlier on your system or on others system. Ubuntu downloads all packages and stores at a place in your system before installing them.

Can you install without internet?

Yes, it will install (from something like a USB or disc) just fine. … As soon as you get your internet up and running, make sure you install all necessary drivers for your hardware (since Windows won’t be able to install them automatically without internet).