His surname reflects his family's presumed origin among the Jews expelled from Cordoba in 1492, but that is an inference from the family name, not a birth record; his entire documented life took place in Safed, where he led the kabbalistic academy that counted Isaac Luria among its students.
What would resolve this A contemporary document or family record naming his actual birthplace, which no source recovered to date supplies.
OpenJewish studies; history of Kabbalah; Sephardic genealogyMichael Berenbaum and Fred Skolnik (eds.), Encyclopaedia Judaica, 2nd edition