Oct 18, 2016 - 8:43 AM
Welcome to MySwissAlps, Figold!
Sure, that's perfectly possible. If you don't mind spending a bit more time on train traveling during your transfer from Lucerne to Zermatt, I'd advise to use the regional Lötschberger Regio-Express (enter Goppenstein as a via-station in the timetable to see those connections) rather than the default quick tunnel connection. The regional train ride is slower, but very scenic and a pretty alternative to the tunnel, especially if weather is clear that day. You might just as well spend the night in Zermatt rather than in Brig, as the Glacier Express starts off in Zermatt anyway. But you may have specific reasons to opt for Brig.
I'm not sure which travel passes you'll be using, but if it's the Swiss Travel Pass, the entire journey you described will be covered. All you need are additional seat reservations for the Glacier Express. I recommend you start arranging for them by now, as I expect the Glacier Express trains to be fully booked during the holdiays.
Here are some more links that may be helpful: