Can I add to the impossibility a bit by further harping on the "Dude, there's no way you're traveling faster than light" train of thought?
Say you were to get an object traveling at the sort of velocity necessary to match light speed. How do you get the sort of energy to do that? Light is a bizarre phenomenon, as it's so energetic it travels at maximum velocity despite being a particle. How does it do this? Light displays both the characteristics of a particle and a WAVE. The wave aspect of the light is resultant of the fact that it is PURE energy. None of the overall mass/energy is wasted bonding light to another particle, so light can put all of it's energy into momentum. Since it's just above massless, it moves quickly.
Now, one of the great features of being all energy, and thusly, a wave, is that you don't travel in a straight line. Minute differences in the amount of energy you carry determine the frequency you wave at, and thusly offer an unpredictable range of possibilities where the 'particle' of light could be located at any given point. It could be anywhere along the path of the photon (light particle), AND anywhere within the range of the wave's path.
So, assuming you COULD travel at or faster than the speed of light without regards to the mass of an object being accelerated, you'd have to contend with the fact that your greater-than-maximum-velocity object would travel as a wave. Depending on the scale, the unpredictable nature of the "particle's" location could be as much as several to several hundreds of times the object's size. A human being traveling at many times light speed would, 'in theory' as you put it, wave around such objects as entire doors. You could be traveling straight toward the wall 6 feet to the right of the door, and wave right through the door around it and into the room on the other side uninterrupted. But that's only one of the possible scenarios. There's a far greater chance that you'd simply wave into the wall in the first place (which would actually cause your energy to be absorbed into the wall from the impact causing an enormous expenditure of energy in some form or another).
My point here is that it's easy to argue for the soundness of a theory when ignoring the only factor that decides truth: reality. People can't wave around doors, things can't travel that fast.