Following the UK's departure from the EU, we should remain outside of the European Union's bureaucratic vaccine passport scheme which pre-dates the Covid 19 pandemic by two years: https://ec.europa.eu/health/sites/default/files/vaccination/docs/2019-2022_roadmap_en.pdf
You may be interested in these active petitions
Vaccine passports are discriminatory and there appears to be a real risk they will be used domestically (https://www.telegraph.co.uk/global-health/science-and-disease/uk-brink-joining-eu-passport-scheme-sources-confirm-nhs-system/)
The UK is now independent of the EU and should base its policy according to its own consideration of Covid 19, from March 2020 https://www.gov.uk/guidance/high-consequence-infectious-diseases-hcid#status-of-covid-19)