Jupiter, like any massive object, does have an effect on spacetime according to Einstein's theory of general relativity. However, it is more accurate to say that Jupiter warps or curves spacetime rather than "wrapping" it.
In general relativity, massive objects such as planets, stars, and black holes cause spacetime to curve around them. This curvature is a result of the mass and energy of the object. The more massive an object, the stronger the curvature it produces in spacetime.
Jupiter is the largest planet in our solar system and has a significant mass. Its gravitational field causes the surrounding spacetime to be curved. This curvature affects the motion of nearby objects, including other celestial bodies, spacecraft, and even light.
It's important to note that the warping of spacetime is a fundamental aspect of general relativity and occurs around any massive object, not just Jupiter. The more massive an object is, the more pronounced the curvature of spacetime it produces.