Yes, the Earth's gravitational pull extends into deep space, although its influence diminishes with increasing distance from the Earth. Gravity is a fundamental force of nature that attracts objects with mass towards one another. Every object with mass, including the Earth, exerts a gravitational force on other objects around it. This gravitational force extends throughout the universe, affecting celestial bodies and objects within its range.
However, the strength of gravity weakens as you move farther away from a massive object like the Earth. According to Newton's law of universal gravitation, the force of gravity between two objects decreases with the square of the distance between them. Therefore, the gravitational pull of the Earth becomes progressively weaker as you move away from it into deep space.
It's important to note that in extremely vast regions of space, the gravitational pull of other massive objects, such as stars, galaxies, and black holes, becomes more significant compared to the Earth's gravitational pull. The distribution of matter and the presence of other massive objects influence the gravitational forces experienced in deep space.