Yes. Because there is no causal connection between the one and the other.
As another example, you could just have a row of lights triggered to go off almost simultaneously, then you could simulate any speed you like including far faster than the speed of light. Someone did an experiment like that in the lab: Faster-than-light electric currents could explain pulsars
Some pulsars do this - basically the rapidly spinning pulsar creates a jet that hits the gas cloud around it making a glowing spot that seems to travel faster than the speed of light.
There is nothing actually physically traveling faster than light - it is for the same reason your spot of light would seem to travel faster than light. You could in principle get arbitrarily high speeds here, depending on how rapidly it is rotating, how much the jet is inclined to the axis, and the distance to the cloud. See also Superluminal or Not on mathpages.com
There is another way we can get superluminal motion - apparently faster than light travel - if there is a rapidly moving jet of material moving at nearly the speed of light, and it is pointing towards you, the observer, then depending on the speed of the jet and the angle, at some angles, you get features moving along the jet that seem to be traveling faster than the speed of light.