Depending on Federal, State, and local laws, yes the suspect can be charged with the deaths of the helicopter news crews.
America has had 231 years of voted in representatives that add layer and layer of law upon law upon law to the judicial system. Something happens, another law gets added to the system in usually a knee jerk reaction. Enforcing existing laws takes a back seat ("Hate crimes" being a classic example of this trend).
The end result is that prosecutors and DA's tend to lay as many charges onto a suspect as possible, and they get to cast a very wide net these days. Then the process usually turns to plea bargaining of those charges down to something with the defendant and his (usually appointed public defender) legal counsel.
Why you will see things like a suspect charged with "over two dozen counts of blah blah blah" when being arraigned.
It's the system we live in that has developed over time. "There outta be a law!"
As to whether or not it's justified here is another argument, but then, the actions of those half dozen news choppers (in addition to the police air presence that was probably there) operating independently in close proximity to a chase.... that's been a disaster waiting to happen for 20 years now since these "Televised Live chases" have been "popular" in the media and public.
They operate so far out of standard aviation safety practices at times to be very scary, and they do put many others at risk. Hate to see it happen at all, but I can't say as I'm surprised at all that it did.
Had those choppers come down on a few houses or civilians on the ground, undoubtedly the suspect would have been charged with their injuries and deaths as well.... but all the wrongful death and injury suits would have been against the television stations.