It's unlikely, very unlikely. But possible, sure.
I have had first hand experience of this.
1070 in my old PC, after some years of seemingly working fine, the PC would no longer boot with the GPU in PCI-E slot 1.
Moved the GPU to slot 2, worked fine, assumed it was the motherboard at fault (it kinda was but read on).
Anyway, years later again, new pc but using the same GPU, put it in new PC in PCI-E slot 1, get all sorts of weird issues, crashing, VERY poor FPS etc. Took me an entire weekend of testing/getting to the bottom of the issue. Eventually noticed, the GPU butting up against the SATA ports, in PCI-E slot 1. Put it in slot 2, worked fine.
Got a new graphics card, in new PC, slot 1 works fine, note a small but definite gap between GPU and motherboard, all working, still working today.
Now, smaller low profile 960, in old motherboard, in slot 1, definitely nothing stopping the card going right in, won't work. Will only work in slot 2.
So, turns out the 1070 didn't quite fit in the old motherboard either, and again was butting up against the plastic SATA port housing on the motherboard. And despite seemingly working for years, the slightly loose connection of that 1070 has damaged the PCI-E slot. I would guess due to slight electrical arcing that has ruined the contacts over the years.