Not really. You have not considered the way that light behaves at high speed. I suggest you investigate the "relativistic doppler effect" (
http://en.wikipedia.org/wiki/Relativistic_Doppler_effect ) before you go any further. Basically as you approach the speed of light, the frequency of the light wave that approaches you increases to twice the speed of light (blueshift
http://en.wikipedia.org/wiki/Blueshift), so the frequency of light approaching the traveler from the object he is approaching will get past ultraviolet frequencies and into the X-ray frequency spectrum cooking everything in the alleged spaceship (Crew included), so even though it could be at some point in the future "technically possible" to achieve those speeds, we need to consider the practicality as there is no point in traveling to arrive to your destination roasted.