Can wearing contact lens inside out hurt eye sight?

No. Wearing a soft contact lens won't damage your eye but it certainly will be blurry and the lens will be uncomfortable and move around a lot with each blink.
No. It won't fit on the cornea correctly inside out, and usually slides inferiorly after each blink, thus the vision will be blurred. Hold up the lens on your fingertip to figure out the correct orientation (edge inward vs. Outward).