No, Han doesn't shoot first in the Star Wars Digital HD Edition...
More on Star Wars
Despite reports elsewhere, it's been confirmed from the FUTURE (well, Australia - which is already living in tomorrow) that there haven't been any major changes to the Star Wars films that are about to appear as insanely priced Digital HD editions. Earlier, it was rumoured that Disney had taken the opportunity to reinstate Han Solo's cold blooded murder of Jabba the Hutt's stooge Greedo, but sadly this doesn't appear to have been the case.
We'll be waiting a while longer for the greatest injustice in that far away galaxy to be corrected.