I say no, not intentionally. In fact, I could easily see the Hulk getting blamed for deaths the Abomination may have caused! I guess as long as you don't acually see people die, you might automatically assume no one dies.
Example, The Transformers movie, in the trailer we see one of big bots slice thru a bus. I'm sure there had to be SOME people on board. That looked like it would have been fatal even for the driver, but cause you don't see these people, you don't really think about them. Same thing with Megatron cutting off a huge part of a building just to make the kid fall off the roof. People inside that building may have been wiped out, we don't know. Cool movie, btw. You get my point though, right?
I'm sure there's going be much destuction some people are bound to get croaked, but with intense action and fast cutting, you won't really notice think about it at the time.
Hulk would'nt outright kill anyone...unless maybe that someone killed Betty.