Certainly, if we limit the discussion to relativistic physics. But, as we now know, there is considerable reason to suppose that there is a great deal beyond relativistic physics.
Arguing that FTL travel is impossible because Einsteinian physics cannot resolve the paradoxs, is akin to arguing that it IS possible because Newtonian physics does not recognise the paradox.
Quantum mechanics does present certain phenomena that suggest that c is not an absolute barrier, in particular the famous "spooky action" paradox. See here for Wiki discussion.
In summary, although classical (ie old fashioned) physics regards the speed of light as an absolute, it may be that there are ways to evade it. We can say that you can't exceed c by just pedalling faster, or even by fitting a turbocharger. Not even a big turbocharger and NOS. But, it may be possible using physics that we don't yet understand. (Personaly, I suspect the secret will be to paint the spaceship red , and attach LOTS of stickers).
Since there is enough evidence that FTL might one day be possible , it has generally been accepted that science fiction may make an assumption that it is feasible. Some time, some where.
This thread may get very interesting .
Originally Posted by skidmark
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As for elves in space, I'm sure there will be some token theory that people will draw a ring around it. 
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