Take a look a the I15 corridor north of Escondido in San Diego county. There are neighborhoods there farther than 5 miles from services.
That doesn't look like suburbs, although there are a handful of housing developments. But these are not in the outskirts of an urban area like a suburb, these are more rural and not attached to any city.
Yes, sure, once you go outside cities into semi-rural or rural regions, it's easy to be way more than 5 miles from shopping.