Unfortunately I fear it would be politically impossible for a country that has a land border.
Not sure about this, there's plenty of countries with land borders maintaining mandatory quarantine requirements and "citizenship/residency or approved purposes only" requirements for entry. Hell parts of Canada are doing that domestically, and Australian states just got finished doing likewise, with the other states all fully closing borders to Victoria until the virus was gone.
Lockdowns also tend to restrict movement so strongly that they de facto close the borders to movement from people externally to the locked down country or region, anyway.
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