This is all theoretical/hypothetical, but if they had used a wormhole (going around limitations of speed of light), yes they could arrive before the light showing them entering the wormhole
> Objects cannot accelerate to the speed of light within normal spacetime; instead, the Alcubierre drive shifts space around an object so that the object would arrive at its destination more quickly than light would in normal space without breaking any physical laws.[3]
This theoretical drive requires more energy than is in the universe though (among other problems)
BeverlyMarx t1_ixy3pnz wrote
Reply to comment by gol4 in light from galaxies by gol4
This is all theoretical/hypothetical, but if they had used a wormhole (going around limitations of speed of light), yes they could arrive before the light showing them entering the wormhole
Or maybe one of these https://en.m.wikipedia.org/wiki/Alcubierre_drive
> Objects cannot accelerate to the speed of light within normal spacetime; instead, the Alcubierre drive shifts space around an object so that the object would arrive at its destination more quickly than light would in normal space without breaking any physical laws.[3]
This theoretical drive requires more energy than is in the universe though (among other problems)