Technically it's not a console that supports an engine, it's an engine that supports a console.
Also, judging by the given information, there's really not much reason to believe UE4 is going to support NX. UE4 was an example, and game engines share some similarities which mean that being familiar with one engine means you're likely to know the fundamental of other game engines too. More importantly, UE4 uses C++ and not C, which really hints at this not being related to UE4 specifically at all. And considering how DirectX or OpenGL knowledge is also required, it doesn't sounds like it's necessarily related to UE4. I don't think either is strictly needed for UE4, and I'm not sure if they're even very useful. To me, this sounds like Nintendo is hiring to create their own engine.
I'm not saying UE4 won't (or doesn't already) support NX, but I don't think this information supports that claim at all.