Yes, there is a limit to how fast spacecraft can travel based on our current understanding of physics. According to Einstein's theory of relativity, as an object with mass approaches the speed of light, its energy requirements for further acceleration become infinitely large. This means that it would require an infinite amount of energy to accelerate an object with mass to the speed of light.
Additionally, as an object approaches the speed of light, its mass also increases according to the theory of relativity. This phenomenon is known as relativistic mass increase. As the mass increases, it becomes more and more difficult to accelerate the object further.
Due to these constraints, it is currently considered impractical to attempt to propel a spacecraft to speeds close to or exceeding the speed of light. The fastest spacecraft to date, such as the Voyager 1 and Voyager 2 probes, have achieved speeds of around 17 kilometers per second (about 38,000 miles per hour) relative to the Sun. These speeds are a tiny fraction of the speed of light.
However, scientists and engineers are continually exploring new propulsion technologies and theoretical concepts, such as ion propulsion, nuclear propulsion, and even hypothetical concepts like warp drives or wormholes, to push the boundaries of spacecraft speed. But at present, we have not developed the means to reach velocities that approach or surpass the speed of light.