No. The minimum System Requirements are a GeForce 9500 GT 1GB or a Radeon X850 XT, both of which are more powerful than the IG 3000 HD.
Sorry, but the Intel Graphcis 3000 HD is not going to be able to run Wolvenstein NE.
Just because it's running on the same engine, does not mean that the specs are the same. Wolfenstein does things with it that the Rage team hadn't even thought up yet, there's a lot more going on, far more effects, more detailed textures, more NPCs onscreen, and a much heavier load despite it being done with the same engine. Rage was just the first game developed for the engine, it was basically just a test run for it. The engine has since been improved and is being pushed much harder with Wolfenstein NE.
It might 'run' on the absolute lowest settings, but I wouldn't bet on it. Even if you did get it to boot up on an IG 3000 HD it would most likely be choppy to the point of being unplayable and probably crash every few minutes or so.
You'll need to upgrade that GPU if you want to play Wolfenstein I'm afraid.