In...olden times when people ordered by talking to other people, you’d often pay cash. Some places would take credit cards, usually by reading the number out loud. One fancy place let you type the numbers in with the touch pad.
Card payments, contactless payments, Apple Pay, metro/travel cards and banks/financial institutions with fancy mobile apps have meant that I rarely if ever need cash.
I wouldn't go as far as to have no phone number whatsoever, but living without one doesn't seem entirely crazy to me.
Having a WiFi-only device (as opposed to a data-only one) did mean I had to plan things a bit, just like I had to do before mobile phones became such a popular thing. It wasn’t a big deal at all.
I guess I’m convinced that it could be done, but I’m less convinced that it makes sense, and baffled as to why you’d pay for a phone and then go to such lengths to avoid using it.