Yes. HomeRunner property pages publish VacationRental structured data (schema.org JSON-LD) on every listing. Each listing includes its name, description, photos, address and map coordinates, sleeps, bedrooms and bathrooms, amenities, reviews and rating, and an offer block.
Each listing also links a machine-readable text copy of itself (the .md alternate link in the page head) that AI assistants can read without a browser. Your site also publishes an llms.txt index.
If a checker reports no structured data. Third-party checkers that only read the homepage do not see the listing-level schema. A report saying your site has no structured data may simply mean the checker did not look at your individual listing pages.