No, even if you're in a spaceship traveling close to the speed of light, you cannot shoot a laser beam that travels faster than the speed of light.
According to the theory of special relativity, the speed of light in a vacuum is an absolute constant, denoted by "c," which is approximately 299,792 kilometers per second (or about 186,282 miles per second). This speed is the same for all observers regardless of their relative motion. It is a fundamental principle of the theory that nothing with mass can reach or exceed the speed of light.
When you're inside a spaceship traveling at a high velocity and you shoot a laser beam ahead of the ship, the speed of the laser beam is always measured to be "c" relative to both you (the observer on the spaceship) and any stationary observers outside the spaceship. This means that from your perspective on the spaceship, the laser beam will still move away from you at the speed of light, not faster.
From the viewpoint of an outside observer, they would also measure the laser beam to be traveling at the speed of light relative to them, not faster. The combined velocities of the spaceship and the laser beam do not add up in a simple way like in classical mechanics. Instead, special relativity takes into account time dilation and length contraction effects to ensure that the speed of light remains constant for all observers.
In summary, no matter how fast you are traveling, the speed of light is always constant, and you cannot shoot a laser beam that exceeds or surpasses that speed.