In space there are some inconceivably large voids. Here is the biggest:
This void is 30 million light years away. Now imagine you have a future spaceship capable of warp, that is, just 'teleport' somewhere - anywhere.
And you warp to the centre of the above void. Fortunately, your spaceship is a scout so you go to the telescope to see around.
Surprisingly, you will see stuff around you, because light travels anyway. In other words, light did not wait for you to go somewhere to start watching. It is already there as well as it was where you left from; so you observe the void from its centre.
It almost certain that what you observe, the void directly from it's own centre, will not be exactly the same as we observe it from here, earth. How much different it will be, i cannot tell.
I suppose that if that was possible and we compare both observations regarding their differences we would discover many more amazing things, but that is another story.
Now while looking around, your spaceship alarm rings. You check and see another spaceship just 1 light year away from you. Obviously somebody else wanted to go observing too. This however happened 1 year ago. That ship may not even be there now.
Your warp drive is in cool down so you travel there with regular means, thrust. For convenience let's say the spaceship travels deadly close to the speed of light.
So you travel directly to that spaceship with the speed of light. You need 1 year to get there. To be honest here, you need 1 year for an observer of that other ship, for you inside the ship you need less time.
If that other ship is still there and observing exactly at you, it will never see you coming until you get there, because your light image, your light, does not travel faster than you. In other words, you will be there as soon as your first light image reaches that other spaceship. Or, to be more practical, if you stay 1 day observing after 1st warp, need another 1 day to accelerate to speed of light and 1 day to decelerate, that other ship will see you 3 days before you reach it, approximately.
If that other ship left at any time lesser than a year from your arrival at your original warp destination, they will never see you coming even if they observe exactly at your warp destination spot. That is because what you see was 1 year older as that ship was there, but your ship warp 1 light year close so light it emits (its light image) need 1 year to go around 1 year radius!
If that other ship left (with warp, like you) 6 months from that spot you observe, you will stop see it after 6 months travelling with the speed of light towards it, always approximately.
Now assume that ship did not left so it is there when you arrive, travelling at the speed of light. You now have 1 light second distance, and perfectly see each other at a state most humans understand, in 'real time'.
Now assume that they are alien ship, they are frighten and thrust away. For any reason, they do not use or they do not have warp. So they use regular thrust, like you do.
If they travel at the speed of light or greater, one would expect you will never see them, they will just vanish because their light image would never reach you because they travel at the speed of light or faster. The reverse of what happened when you approach them. That is not the case here, because light always travels anchored from any spacetime.
That is, even if that alien spaceship travels 10 times the speed of light with instant acceleration, you will be still able to observe it. You wont be able to know where exactly it is (how much far away from you) at any given time, but with comparing all observed images in time you will be able to understand the ship velocity and therefore, distance, approximately. If the ship keeps going with 10 times the speed for light constantly for 1 year of flight your observations will conclude that it is now 10 light years away from you, while your 'life' at the duration of this phenomenon is only 1 year.