Based on our current understanding of physics and the dynamics of the solar system, it is highly unlikely for Earth to naturally escape the gravitational influence of the Sun and venture out of our solar system.
The Sun's gravity keeps the planets, including Earth, in stable orbits around it. The escape velocity, which is the minimum velocity needed for an object to completely leave the solar system, is approximately 42.1 km/s (26.2 mi/s) from Earth's surface. This velocity is significantly greater than Earth's orbital velocity, which is about 29.8 km/s (18.5 mi/s). Therefore, Earth does not have enough kinetic energy to overcome the Sun's gravitational pull and escape its orbit.
In order for Earth to leave the solar system, it would require a substantial amount of energy to be added to the planet. This would involve an extraordinary event, such as a close encounter with a massive object like a rogue planet or a star, or a highly unlikely gravitational interaction with multiple celestial bodies.
However, it is worth noting that humans have the capability to launch spacecraft into space. With advanced propulsion systems and technologies, it might be possible for future missions to send robotic spacecraft beyond our solar system, but it would not be Earth itself escaping the solar system.