No, beta particles cannot travel faster than light in a vacuum. According to our current understanding of physics, as described by the theory of special relativity, the speed of light in a vacuum is an absolute speed limit. Nothing with mass can reach or exceed the speed of light.
Beta particles are high-energy electrons (β-) or positrons (β+) emitted during certain types of radioactive decay. These particles have mass and are subject to the laws of special relativity. As they accelerate and gain kinetic energy, their velocity can approach a significant fraction of the speed of light, but they can never reach or surpass it.
As an object with mass accelerates towards the speed of light, its energy increases, and its relativistic mass also increases. This causes a corresponding increase in the object's resistance to further acceleration. At the speed of light, an object with mass would require an infinite amount of energy to continue accelerating, making it impossible to reach or exceed that speed.
Therefore, beta particles, like all other particles with mass, are bound by the universal speed limit of light in a vacuum and cannot travel faster than it.