Yes, it is possible. Freezing/artifacts/sound loops/crashes are more common, but a BSOD is possible as well. Typically the BSOD would list the name of your gfx driver as being what caused the crash in these scenarios.
Powercolor Red Dragon Vega 56 (Nano-based) With Samsung OC'ing in Progress!
Yea it's very possible, I use to get them a lot when I had power issues with my cards, not enough power and under load would blue screen. Unstable clocks could cause this also but like brettjv said artifacts and other things are more common. So put your card on stock clocks and see if you still get them.
If you have updated your flash player recently, try removing it and doing a re-install. The new flash player offloads some of the flash video processing to the GPU, which was giving me a crap ton of GSOD. The latest 10.1.53 was the version giving me errors, I'm back to an earlier version and I am fine now.