The various short stories in this are standalone right?
Sorry I worded that kinda wierd.
What I'm trying to say is can I jump straight to the Kokoro episodes without watching anything before it?
Try reading the source material.
Yeah, you can. Try to read the stories too, all this short stories are based on Japanese literature books.
Read No longer human, it's the best book ever and no matter how good the anime adaption is, it is nowhere near as good as the book