Would it be possible to require the use of an OpenPGP or other actual cryptographic identity that matches a whitelist of keys I or a government agency provides

Would it be possible to require the use of an OpenPGP or other actual cryptographic identity that matches a whitelist of keys I or a government agency provides for anything more major than a typical shopping trip to the grocery store / Costco? Phone numbers and cell phones are too easy to have redirected; so an actual cryptographic ID is required. That's why I want the government to sign off on personal IDs when /they/ confirm my ID at drivers/identification license updates.