That's a bit exaggerated. "Corner" stores of any kind are rare in suburbs as they are zoned for residential use only. However, there are often small areas zoned commercial scattered around where a small number of shops are located. I'm pretty sure land use planning requires these things to avoid exactly what you were describing.

I've never been more than 10 minutes from groceries or gas in the suburbs. Now rural life, that can mean some planning if you need anything at all. And if you want to do anything remotely interesting you're almost always going to be traveling some distance. And with very few exceptions cars are practically mandatory.

Edit: times based on car travel, not walking.