Only if a force stops it. The earth is orbiting around the sun which means its moving fast enough to avoid falling into the sun.
Imagine shooting a cannon. The ball flies for a while then falls into the earth. Lets say you put the cannon on a building and shot it. It would travel farther around the earth this time before it falls into it. Then you put it on top of a mountain. It flies even further around the earth before landing on it. So at a certain height you could assume that at the rate the earth is pulling the ball to itself is the same rate that the ball is moving therefore the cannon ball is constantly falling “towards the earth” but since it is going so fast and at such a distance above the surface, the curvature of the earth sort of gets out of the way of the ball and the ball continues to fall forever. This is orbit. Or a simplified explanation. So until a force acts on it, slows it down or changes its course, the earth will perpetually orbit the sun
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