According to our current understanding of physics, no object with mass can travel faster than the speed of light in a vacuum. This is a fundamental principle of Einstein's theory of relativity. As an object with mass accelerates towards the speed of light, its relativistic mass increases, requiring an infinite amount of energy to reach or exceed the speed of light. Therefore, regardless of the mass of an object, it cannot surpass the speed of light.
It's important to note that there are theoretical particles such as neutrinos that were initially thought to have traveled faster than light, but subsequent experiments and further analysis revealed that those initial measurements were due to experimental errors. All known particles with mass, including the heaviest ones, are believed to follow the laws of physics, which include the speed limit imposed by the speed of light.