To the best of my knowledge, if you are traveling at a velocity (a vector quantity with magnitude and direction) less than the speed of light you cannot exceed the speed of light because your mass will become infinite, i.e., blow up. However, the equation is also quite specific. If your velocity is greater than the speed of light, an object can exist. The question is how to get it going at those velocities.IMHO
A warp bubble is the solution!