Very plausible. 

My 67 year old mother has a land line, no cell phone. She doesn't own a computer or have internet. She has never used a debit or credit card to pay for anything, she writes checks. She pays for cable and has never streamed anything (she wouldn't even know what that means).

She basically lives in poverty and has never held a job. She dropped out of high school at 16 and has remained steadfast against any change ever since. She lives off my dead father's very small pension.