That is what I hear on shows like Cosmos that at the Big Bang space expanded faster than light speed. What was different then than now for such speeds to be a reality then.
There is no difference between then and now, except for the rate of the universe expansion. Space itself can expand extremely rapidly. Think about it this way: you are an ant walking along a rubber band. The ends of the rubber band are point A and point B. If someone stretches out the rubber band as you are walking along it, it doesn't mean you end up walking slower, it just means point A, point B, and every point inbetween all have gained a lot more distance between them. Basically, now you have to walk further to reach your destination. If the rubber band is allowed to contract, again, it does not mean you are now walking faster, it simply means the distances between everything have been reduced, and you can reach your destination quicker.
That doesn't mean you can travel faster than light, and the thesis behind the warp drive in this discussion is still tenuous theory and isn't known to be possible. At this point, it is only thought to
maybe be possible by some theorists. People who believe in causality will be far more skeptical of the drive.
By the way, the universe is still expanding faster than the speed of light, in fact objects at the distant edge of our vision are disappearing. If the current accelerating rate of expansion continues, eventually everything beyond out galaxy would be swept from our vision, and even everything beyond our solar system would vanish. Anyone alive at that point would have no concept of cosmic history if it is not handed to them from their ancestors. And, of course, further down the line, planetary systems get thrown apart, and eventually all individual atoms get ripped to pieces.
