According to our current understanding of physics, it is not possible for an object with mass to be self-propelled to the speed of light. As an object with mass approaches the speed of light, its relativistic mass increases, and so does the energy required to continue accelerating it. This relationship is described by Einstein's theory of special relativity.
As an object accelerates, its mass increases according to the equation:
m = m0 / sqrt(1 - v^2/c^2)
Where: m is the relativistic mass of the object, m0 is the rest mass of the object (its mass at rest), v is the velocity of the object, and c is the speed of light.
As the object approaches the speed of light (v ≈ c), the denominator of the equation approaches zero, resulting in an infinitely increasing mass. As a result, the energy required to continue accelerating the object also approaches infinity. This means that an infinite amount of energy would be needed to reach or exceed the speed of light.
Moreover, the concept of drawing energy from the increasing mass itself to sustain acceleration violates the conservation of energy, which is a fundamental principle in physics. It would require an object to continuously convert its own mass into energy, which is not currently supported by our understanding of physics.
In summary, based on our current understanding, objects with mass cannot reach or exceed the speed of light through self-propulsion. The fundamental laws of physics, such as the increase in relativistic mass and the conservation of energy, prevent such scenarios from occurring.