No, it’s not possibile. It is populated automatically otherwise we don’t have a date to check. That page (the Listing page) shows the available rooms for certain dates. It is not an archive.
I don’t know what you’re trying to achieve but removing the datepicker is not a good idea. Because even if you remove it it will still have an effect. Internally a date will be chosen for checkin and checkout in any case, to make a check of available rooms.
And there will be days when you won’t find a room in that list because it’s occupied. I repeat, that page is not an archive, but a page that allows you to see which rooms are available on a particular date.