Nope. In Into Darkness, the Klingons are a largely unknown threat "coming our way" in 2259. In Disco, they had a war in 2256-7.Basically, I don't like the way this series stamps on the TOS timeline and hos un-Trek-ish it is... however I do enjoy it as a show regardless of that. So I was wondering, as I did not delve into the second season yet, how could the show fit in the Kelvin timeline, and if anything wherein prevents such connection.
Yes Disco looks a lot like the Kelvin movies, but it's its own thing.