I tried to make it happen once when someone mentioned it on a post. Could not verifiably induce runout by chambering a loaded case. I would suspect if it were possible then it would depend upon several variables all being wrong at the same time. Some of those would be the force necessary to break the case out of the magazine retainers, angle of the ramp, how the case head is picked up by the bolt face, etc.
It would seem to me that the most important factor in inducing runout would be the softness of the brass in your neck. I use a Bersin Tool
to straighten runout and it is possible to see how much force is necessary to push the bullet with the tool. With new brass I noticed that it takes so little force to move the neck to one side or the other that you can do it with your thumb. When the brass is soft like that, it is harder to reduce runout because it takes so little force to move the neck that you wind up moving the runout from side to side. After 3 or 4 firing when the brass becomes harder it becomes harder to move the bullet in the neck but much easier to significantly improve runout.
So I would think that new brass or recently annealed brass would exhibit a problem of induced runout by chambering much easier than a severaly times fired case.