Certainly he hasn't made any such thing, and from what I understand the rights to "The Hobbit" are a rather sticky situation. Of course, so was LoTR.
But anyway, PJ does not currently own the rights to make a film of the Hobbit, and has expressed conflicting emotions on the subject. He originally denied any interest in making the Hobbit, but has amended that somewhat more recently.
PJ's next film is "King Kong."
Ian McKellan has expressed strong interest in playing Gandalf again, and floated the idea in multiple interviews of doing The Hobbit as a mini-series, produced by PJ. To the best of my knowledge, nothing has come of this to this point.