I really doubt it since I expect they'll be trying to reduce costs and most people realise HDMI would have been great after they buy itBut who knows.
the psp wasn't in the much of a different boat than the vita and the second version got video out with that. I figure it would be worth the buck or two it would take to add HDMI to get a number of people to upgrade. I know I would go after a 2k series it if had video out. Heck I am still planning to pick up a 2-3k psp at some point to play birth by sleep on my tv lol