NASA and other space agencies do not currently have the capability to accelerate spacecraft to speeds faster than light. The speed of light, denoted by "c," is an ultimate speed limit according to our current understanding of physics.
In conventional space exploration, NASA relies on various propulsion systems to accelerate spacecraft to achieve high speeds relative to Earth or to escape Earth's gravitational pull. The most common propulsion methods include chemical rockets, ion propulsion, and electric propulsion.
Chemical rockets, which work on the principle of expelling high-velocity exhaust gases, are the primary means of achieving initial acceleration and escaping Earth's atmosphere. However, even the most powerful chemical rockets cannot approach the speed of light.
Ion propulsion and electric propulsion technologies, such as ion thrusters or Hall effect thrusters, provide low but continuous acceleration by expelling ions or charged particles. While these systems are more efficient than chemical rockets in terms of fuel consumption, they are still far from reaching relativistic speeds (speeds approaching the speed of light).
To surpass the speed of light, one would need to employ hypothetical technologies or concepts that go beyond our current understanding of physics. Concepts like warp drives, which involve manipulating spacetime to achieve faster-than-light travel, are speculative and remain in the realm of science fiction.
It is worth noting that scientific research and exploration continue to expand our knowledge and understanding of the universe. While we cannot predict future developments, as of now, traveling faster than light is not within the realm of current technological capabilities.