The process of unplugging the power can cause unpredictable power spikes which can damage any component in your PC - including the graphics card. You should address the problem of your PC getting unplugged before spending more money on hardware.
no it can't and it is gonna be fine
If too much power is surged through your graphics card, then yes, you can burn it. It happened to mine, but fortunately for me, it was old, and it was some cheapo gpu.
Yes, power failures can be associated with voltage spikes that can cause damage to the PC and its components. Buy a decent surge protector or extension cord with a built in surge protector, and use this to power your PC.
