Yes, the website can still track users' behavior using cookieless tracking methods such as server-side tracking, local storage, or a data layer.

For example, with server-side tracking, the tracking code is executed on the server instead of the user's browser. This means that the users' devices don't need to store any data. All the data tracking is made on the server.

You may find more on cookieless tracking in the blog post: https://stape.io/blog/what-is-cookieless-tracking