Can you provide a reference to a discount grocer (since you are replying to a comment about affordability) that offers curb-side or delivery without fee? I am not aware of any.
Some of them charge a service fee for pickups under $35, but from what I recall, the bigger chains do not. And with prices these days, you'd be hard pressed to do a grocery run that costs less than $35 unless you need a single item, but if you only need a single item, this is no longer a conversation about starving.
As for free delivery, I believe some of them offer free delivery for orders over a certain size, but I was focused specifically on non-delivery options.
Bottom line: there are many more options than “go in the store or starve”.