That cases are both possible but have a different sense.

на + accusative = to, towards
на + prepositional = on, at, during

Я пригласил её в кафе на нашем втором свидании. - Prepositional.

I invited her to the coffee shop during our second date. (I.e. for the third date.)


Я пригласил её в кафе на наше второе свидание. - Accusative.

I invited her to the coffee shop for our second date.


иди на улицу (accusative)

go to the street

иди на улице (prepositional)

go at the street