Its more likely to do with ******** time lapse but a parallax effect could also be a possible explanation for the sun and moon appearing to move quickly in the video.
The parallax effect occurs when objects at different distances from the viewer appear to move at different speeds due to the viewer's perspective. In the case of a solar eclipse, the moon is much closer to the viewer than the sun, so it would appear to move faster across the sky due to the parallax effect.
If the camera is moving or rotating during the video, the parallax effect could be amplified, making the sun and moon appear to move even more quickly. This effect would be more pronounced if the camera is using a wide-angle lens or if the viewer is close to the camera.
I do this kind of thing sometimes with a drone, with close hills and some focal point like wildlife or something and in the distance is a mountain range that appears to be moving fast if you get it right. It can look spectacular when done well.