If you do not have wireless internet access or are unwilling to have a gmail account, quite impossible. Chromebooks require internet access to either set up or run an existing google account, or they are essentially a light source and nothing else.
I am currently evaluating a reset customer’s chromebook. It demands a google login... and just sits there not allowing any further action until one is provided.
Bloody piece of 5#1t...
People are able to install Linux on some Chromebooks. Google the model and see, you might get lucky.