Can a PNY GeForce GTX 770 2GB OC 256-bit GDDR5 fit in this case?
Of course.
Will this case be able to support 780ti SLI (EVGA), a Corsair H100i, and an EVGA PSU?
Pretty sure the video cards and power supply will fit. Depending on your mother board size corsair push, pull will probably not. I have cooler master seidon 240 in a pull configuration using only 2 fans. Barely fit with an Asus pro.