Probably not
It strikes me as unlikely that an East Coast Hollywood would ever emerge for a couple of reasons.
Production is now global. The West Coast studios can pick anywhere in the world to make their films. The UK, New Zealand and Australia are currently hot. The UK for its studios and technicians, Aus for its locations and tax incentives.
For an East Coast Hollywood to emerge, it would require a new set of producers, with vast amounts of money, to decide to set up new a rival studio system and for them to decide that the East Coast was the place to do this. This still wouldn't bring production to the East Coast, unless part of that decision meant building new film sound stages. This is unlikely when there are already enough sound stages availible world wide.
The only thing that might trigger this kind of event would be a major change in the distribution network. Which might happen as a result of digital technology. If the major East Coast TV networks decided that they could take on Hollywood, with new technology they might go renegade.
However, what is more likely, is that once they decide that they can get into the game they will attach themselves to LA.
I think the real question is, why would anyone want an East Coast Hollywood? If you want to find the next Hollywood, you need to look wider. India has a huge and increasingly sophiscated film industry, as does Hong Kong and now Nigeria is getting into the game.