Does the country publish full voter registers at the polling station level online?

The electoral register and the 'open register'
2. View the electoral register
Your local Electoral Registration Office will tell you where you can view the current electoral register (it's often available in libraries). The register will list everyone who's registered to vote in the local area.
https://www.gov.uk/electoral-register/view-electoral-register

The electoral registers in the UK are available in manual form, often in libraries.