Acá no pasa nada

Acá no pasa nada
 

That means it's borning, nothing's going on right now where I am, right?

Right.

Although it's not necessarily only now, but maybe it just depends on the kind of place where you are.
Maybe you're in a small peaceful town where nothing ever happens. :)

Yes, that's one of the meanings. It can also mean 'nothing is happening here' as a reply to "¿Qué pasa?" = "No pasa nada"

"Aquí nunca pasa nada" means this a really boring place.

;)