Certainly. It depends on the nature of the business.
There are certain items that people purchase in great quantities that most prefer to actually see, or may wish to personally inspect, before they buy. Produce comes to mind.
When people buy produce, they tend to look for certain qualities like freshness, lack of blemishes, particular size and colours, etc. Also considering that such items have limited shelf-lives, it is easy to see why online grocery stores typically haven't done well.
Convenience stores offer, well, convenience that allow people to act on impulses and sudden needs that the internet would not be able to fill.
Business that supply fungial assets like milk, corn or iron-ore to other businesses for processing would have little need for a presence online.
Really the internet is primarily an advertising tool that offers the ability to buy immediately, sight-unseen, if you can wait for shipping. Any business that doesn't lend itself to that sort of sale could probably do quite well without a website.