Yes, it absolutely does.
This gravity is basically negligible for any practical purposes, but it does mean that while the earth is pulling you down, *you are pulling it up*.
Earth is orders of magnitude bigger than you, though. So the affect you have on the planet is tiny, but it is calculable and more than zero.
Yes, a very, very, very small amount of gravity. So, you attract the Earth to you with the same force that the Earth attracts you to it. However, you are much, much easier to move than the Earth is (due to mass affecting momentum). So, you end up moving toward the Earth rather than the Earth moving toward you.
Kinda neat, eh?
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