Unfortunatly, Uncharted for the PS4 isn't starting out too well. I say this because Amy has left Naughty Dog. I say left because I am not sure exactly what happened. Anyway, if you didn't know Amy was a key aspect in previous Uncharted games. When I saw the trailer for Uncharted for the PS4, I was excited but now I'm not so sure. To answer your question, no there is no release date yet for Uncharted for the PS4. I could see a Microsoft studio picking up Amy for their games. Which could be extremely bad for Sony.
I love Uncharted. In fact, it's the first game that motivated me to finally buy the PS3, and for a few years, I only owned the Uncharted games for that platform. That said, it's really scary to hear Amy and Justin and now Todd have left. Sony won't comment. Naughty Dog just says that these departure's aren't affecting anything.
If the game hadn't been announced already, it wouldn't be as troubling, but now that we all know that something's coming, to hear that such powerful forces are leaving so quickly and suddenly is really confusing to what has been a very very loyal fanbase.