If this broad definition of causing harm is used, then one can argue that the United States is committing genocide against its general population, considering how screwed up their healthcare system is. So I doubt the United Nations would see it as genocide unless someone is actively committing it.
And by actively, I mean directly ordering the destruction of trans people, by causing serious bodily and mental harm. That invokes more the image of concentration camps, or work camps, or displaced populations. Kinda what China is doing to the Uyghur people.