First, we don't actually have the ability (as far as I'm aware) to use a particular genetic sequence to activate some drug that would work systemically. Second, we don't have the ability (as far as I'm aware) to recognize an identifying sequence, then do DNA damage elsewhere in a life-sustaining gene. Lastly, it takes so long to identify the output of a gene (protein, siRNA, rRNA, or whatever) and make a drug targeting that output that even if you were able to target a coding region, it would be far faster to kill them by more traditional means.
It's far easier to take an already-deadly disease that kills indiscriminately, modify it to have shorter incubation time and higher kill rate (so it burns itself out before going pandemic) and shoot it at a target on a spitball or with a Bulgarian umbrella, while they're on their way to meet with everyone else you want to kill.
Either way, that's still leaving biological evidence all over the crime scene, and has the potential to kill a lot of people you weren't specifically targeting. So the preferred methods of assassination will likely continue to be poisons, firearms, and explosives for a long time to come.
As I recall, the individual I was talking to said that the didn't think it was possible to carry out that exact scenario today, but that it was close enough to reality to not be science-fiction, and would definitely be possible eventually.
Viruses and bacteria already can jump zoonotically (between distant species), it would be trivial to adapt to within-species targets.
Imagine a virus that has a 90% mortality rate among East Asians, but only a 10% mortality rate amount Europeans. Or vice versa. It breaks the concept of mutually assured destruction because the attacker might believe that other nations do not have the ability to strike back, or they can construct feasible defenses against a counterstrike. Release the virus then close your borders and ports.
It also would of course be easier for a non-state actor to construct a world-destroying biological weapon compared to an arsenal of nuclear weapons. You can hide a biological weapons lab anywhere.
IE, not possible, period.
Human DNA is almost identical in every human that lives, and genes are present in everyone that are not active. You'd try to target a given group of people with e.g. brown skin and short stature and you'd end up killing your neighbors plus some other random people half a world away.
DNA isn't computer code, it's a random stew.