But is it actually possible? Yes. It’s not complicated by modern space industry standards.
Is it smart to do? Absolutely not, it is insanely wasteful and unpractical. Electric light exists, just sayin’. Also, you either need to switch between satellites in a swarm, which will suddenly change the angles of light, or you have to put satellites onto geostationary orbit, which is even more wasteful.
And would it really look exactly as portrayed in the video? No. It is known they did not use satellites for it, most likely it was a drone. Light will come from a much greater distance and will also dissipate more - harassing your surroundings, that is.