It's important to note that:
* The last "Twilight" movie was released in 2012.
* The author of the books, Stephenie Meyer, has said she isn't planning on writing any new "Twilight" books.
* While there have been rumors and fan speculation about a reboot or sequel, there is no official confirmation.
So, to answer your question, it's highly unlikely that they are filming "New Moon" right now.