For it to be considered as such I think that it would need to be easily recognised by a relatively large portion of the world compared to other shows. Anecdotal but I have only 1 friend who watched B99, but almost all of my friends would be able to recognise actors/scenes from Breaking Bad even if they haven't watched the show itself. Breaking Bad is referenced a lot in pop culture, much more so than B99 (an example I can think of would be the rehashing of the sentence "This is the moment when [Walter White] became [Heisenberg]").
The same can be said of The Office. People have been exposed to it enough that they can recognize a scene from it based on the production style even if they have never watched the show. I do not think Brooklynn 99 is at that stage yet. Perhaps it will reach it in the future.
This has nothing to do with the merits of B99 though. I personally think it is a great show. It has good characters, fantastic actors, decent writing and an alright overarching plot. But I would not call it a cultural artifact (yet).