All I can find of this set is shoulders and boots, am I wrong?
WoWhead is your best friend for this sort of thing.
I checked your Armory and saw that your shoulders are mogged to Backbreaker Spaulders. When I look those up on WoWhead it says they’re part of the mog set “Necrotic Boneplate Armor (Heroic Recolor)”, which is a DK class set. Since there’s no link listed for (Heroic Lookalike) I can tell that no, that color of that armor set is not available if you’re not a Death Knight. There is, however, a link to a Necrotic Boneplate Armor (Normal Lookalike), which means a different tint of that armor model can be obtained by everyone.