Yes it should. I have a NZXT Guardian 921 and GTX 770. However it was such a tight fit that I couldn't put the GPU in the top PCI slot. Fortunately my motherboard has two PCI 3.0 x16 slots so it was a moot point but it was still a close call. Now if I ever want to SLI I'll either have to buy a new case or hope a smaller 770 comes out.
It looks like your case is a little bigger though so you might not run into the same problem I did. However it's still something to keep in mind.