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Short answer: yes

Long answer: regulatory bodies require antibody titers (levels) as proof of immunity. Antibodies decline after vaccination (veterinarians boost for rabies every three years because of this). But antibodies from vaxx are not how vaccines work. They work by creating long-lived memory T cells which when te-exposed cause NEW antibodies to be produced. As to smallpox: in the 1900 London epidemic, persons over 50 years old who were vaccinated as children had 3% mortality, those never vaccinated had 30% mortality.

So, vaccinia (smallpox vaccine) confers very long lasting protection of life across all orthopoxviruses (including monkeypox) but does not prevent mild illness - and if you put monkeypox virus where the sun don’t shine, that mild illness may not be so mild.