Does Unreal Engine 4 support an Intel HD Graphics 3000 card?

It would be if it was possible, but it just isn’t. It’s just down to the way the engine and the new renderer works. It’s a complete rewrite. Besides, we still have UE3 for exactly that reason! I’m personally glad for the single renderer. It made developing in UE3 a bit of a nightmare at times, especially when downscaling a project to DX9, only to find that it couldn’t do a lot of what you were doing in DX11. Mesh-painted reflections was one thing I found I couldn’t work around in DX9.

On the side note, you can pick up a DX11 capable card for less than 3-digits worth of cash now (UK terms over here), which really isn’t that bad at all. The tools are aimed at users with those kinds of computers, there comes a point where its unreasonable to keep supporting less capable systems. I see why its frustrating for a lot of users, but at some point or another the move has to be made.