Oh, definitely. That's why it's important that the OP talks about outright murder of innocents (later specified as silencing witnesses to the original violence). "We killed thirteen stormtroopers in the line of duty" wouldn't even raise an eyebrow here, I imagine.)
As the title indicates, Star Wars tends to be set in wartime, and military actions tend to be treated as justified even if many, many people die. (A very pure-minded Force-sensitive might earn some Conflict, but the eternal example of Luke blowing up the Death Star indicates that it's not the sort of thing that seriously threatens Morality.) Conversely, an atrocity committed against just one person would be worth a lot more Conflict. (Luke's immediate jump to violence during his testing in the Dark Side tree-cave-thing may have netted him more Conflict than the Death Star; certainly in terms of the tone of the films it was played as more of a moral failing that needed to be overcome.)