No. This is wrong. From a photon’s perspective*, it arrives at its destination instantly; it’s a massless boson meaning that it does not experience time. (The more technical explanation is that photons have no rest frame, so travel along null geodesics through spacetime.)
Instead, this is portraying what we as observers experience as we observe a photon leaving the solar system. A very, very different thing.
*This, though, is really meaningless. There is no such thing as a photon’s perspective due to its very nature.