Every gas station and convenience store I go into has a glass jar with somebody's family picture and a handwritten note pleading for money to help them afford a life saving operation. Most times it's that f*cker, cancer.
I spent a few years in Belize and sadly this is the de facto public health insurance program there. Everyone who gets cancer or has a major accident has local fundraisers to get help from the community.
This is essentially what single-payer is, except people are free to determine who the actually want to cover. A bunch of normal folks setting aside money.
Unless people just expect 'the rich' to pay for everything.