A short in the card connector in a suitable position can do that. I do believe I once had a tiny piece of swarf (from the stamped chassis) in a VESA VBE connector cause something similar: the machine would not even turn on. On PCI Express bus, I guess this could only happen between ground and one of the power pins, but the
pinout shows it does have power and ground pins next to each other in more than one spot. And metal swarf in PC chassises is very, very common: the stamping process often leaves hanging whiskers, that only later detach and drop onto the motherboard..
Internally, PCI Express bus consists of lanes, with serial unidirectional transfers. The card can garble the operation of the system by sending continuous interrupts (say millions of times per second) or not answering
some of the fundamental messages sent, causing the system to "lock up", somewhat as if keeping the system stuck between clock cycles.
It has always been the case on x86 and x86-64 that an expansion card can render the entire system nonfunctional, even stop the CPU from starting (BIOS execution). Graphics cards especially so, because most BIOSes expect to see one, and won't boot without; they're really not prepared to deal with or even detect a
misbehaving graphics card (wrt. bus communications or interrupts etc.). Because BIOS is on a Flash chip on the motherboard, and all this occurs immediately on power on, way before any OS or boot loader is involved, none of this has anything to do with the OS used at all.