No, that should not be possible.
NT 4.0 officially comes with Directx 3 (I think Service Pack 4 includes this).
However there is a patch floating around that allows you to upgrade to DirectX 5. I think this patch came with a Windows 2000 beta (?). However no hardware acceleration and no "direct Sound" support. BUT some games like an old version of Need for Speed run on this config.
There is another patch that hacks NT up to DirectX 6, but this never worked for me.
OpenGL is (allmost) fully supported, that is why you can play Quake, Quake 2 and so on.
Just google a bit for "directx 5" +"NT 4"
Good luck
Ulf