You can connect the screen to your laptop and use it for every day use.
But when you're gaming you have to lower your game settings to play on 144hz, because your gpu is not strong enough.

Yes, you can hook it up to that monitor but gaming wouldn't be as smooth as it should be.

Your gpu is a 960m so lower than a gtx 750ti and gtx 950 and the BenQ XL2411 is a 144hz monitor..