The distance we can currently travel in terms of light-years is limited by our current technology and the physical constraints of the universe.
the farthest distance humans have traveled from Earth is to the Moon, which is approximately 1.3 light-seconds away. We have also sent several spacecraft to explore other planets in our solar system, such as Mars, which is an average of about 12.5 light-minutes away from Earth.
When it comes to interstellar travel, the distances become much greater. The nearest star system to our solar system is the Alpha Centauri system, which is about 4.37 light-years away. However, with our current technology, we do not possess the means to travel to even the nearest star system within a human lifetime.
Theoretical concepts and ideas for interstellar travel, such as spacecraft propelled by nuclear fusion or using advanced propulsion systems like laser propulsion or antimatter engines, have been proposed. However, these technologies are still largely in the realm of science fiction and would require significant advancements to become practical realities.
In summary, while we have traveled relatively short distances within our own solar system, traveling significant distances of multiple light-years is currently beyond our technological capabilities. The challenges and complexities of interstellar travel pose formidable obstacles that we are actively exploring but have not yet overcome.