Yes. It is essential for anyone who intends to purchase from your store to have cookies enabled on their browser.
Why? When a visitor on your site adds an item into their shopping basket, then continues to navigate throughout the site, it's imperative the item placed in the shopping basket is held there. This can only be achieved using cookies. A cookie stores the information about the item that has been placed in the basket and makes that information available as the visitor navigates between different pages on your site.
[Site Name] uses session cookies to effectively retain items added to your shopping basket as you navigate between pages.
What is a cookie?
A cookie is a small amount of data, which often includes a unique identifier that is sent to your computer or mobile phone (referred to here as a "device") browser from a website's computer and is stored on your device's hard drive.
For [site name] details of the items added to a shopping basket are held by the cookie. The cookie is a session cookie and will therefore expire after a given period of time or when the visitor leaves the website.
In order to use the shopping basket on [site name] you must have cookies enabled within your browser.