Well it is not quite present, because født is in the past participle form. Is this like in French where verbs of motion and a few other verbs go with être instead of avoir in perfect tenses? French je suis né, Danish jeg er født. French je suis allé, Danish jeg er gået.
It's also the simple past in English - "When were you born" is the passive form of the verb "to bear". The present would be e.g. "Many children are born every year". (Past perfect would be "had been born"). That's why the sentence "I am born" is impossible in English unless you come out of the womb speaking fluent English. Even two years later, they still haven't corrected it here though.