Earlier quoted context omitted.
Not really. There are a huge number of stars, but most of them are moving away so fast that the light from their death wouldn't ever reach us, and their light would be shifted in to parts of the spectrum we can't see. Similar to Olbers' Paradox - http://en.wikipedia.org/wiki/Olbers%27_paradox
> most of them are moving away so fast that the light from their death wouldn't ever reach us Correct me if I'm wrong, but I believe that's mistaken. Given enough time, even things moving away from us at the speed of light will eventually be seen by us. http://en.wikipedia.org/wiki/Ant_on_a_rubber_rope
https://en.wikipedia.org/wiki/Metric_expansion_of_space
The rate of expansion of space-time is currently accelerating so the ant on a rubber rope analogy does not hold.
Edit: from the ant on a rubber rope article you linked
> However, the metric expansion of space is accelerating. An ant on a rubber rope whose expansion increases with time is not guaranteed to reach the endpoint.[3] The light from sufficiently distant galaxies may still therefore never reach Earth.