Yes! It is possible to browse and see the folder structure to search for the Data Extensions that you want to use.
There might be cases where you do not remember the names of the Data Extensions you want to use but you happen to know where they are located or saved. It is also possible that you might be in an organization that works with many Data Extensions (in times, some Data Extensions are closely similar to one another but being used for different purposes) and you want to see the list of possible Data Extensions contained on a specific folder before deciding which one to use. If this is your case, then having a folder structure to search for the Data Extensions to be used is perfect.
Under the Available Data Extensions, click on the funnel icon to filter the Data Extensions by folder.
A pop-up will appear and it will allow you to navigate through the folders or use the search function to search for the folders you want to see and select and Data Extensions that you want to use.