No, it doesn't work that way. Optics 101.
Micro movements or vibrations get amplified when the zoom lens magnifies the image onto the sensor. As the image is expanded, so are any physical movements which get projected onto the sensor.
If you have small movements that only cover a distance of 1 pixel on the sensor at 1x zoom, it is not going to be picked up by digitally zooming in by 10x, as you re just increasing the size of that pixel by 10x, which in itself can't discern any movement.
If you optically zoom in by 10x, you have those small movements now covering 10x more pixels, as you are blowing up the image to cover more surface area of the sensor. This results in the movement now covering 10x more surface area than at 1x zoom, and this is why vibrations / movement is amplified with optical zoom.