Of course not, a continental shift over the course of hours or even days would result in a total global extinction event of vritually all macroscopic non-aquatic fauna and flora.

There was however a drastic change in climate. You are referring to animals having undigested plants in their stomachs while frozen.

The great freeze was an abrupt phenomenon caused by the shifting of oceanic currents which in turn shift the masses of air but for the animals in question it took weeks to freeze, they did so while eating the remnants of the often equally frozen plants.