Yes. Each section in the read full description popup is filled from the matching description field in your PMS, and sections with no content are hidden automatically.
Where the order comes from. The display order is set by your site’s property description template, which support can adjust per site.
To change the order, tell support the exact order you want (for example: Description, Space, Access, Rules). The order can be changed without touching your PMS content.
If a section is missing on a listing, check that the corresponding field is filled in your PMS.