I'm pretty liberal with dirt and saving stuff but I would never even consider doing this. I even wear my contacts way longer than I should and this...no way. Parasites/poop germs + eyeball = hell no.
Pink eye is an infection caused by various virus and the bacterium Haemophilus aegyptius its unlikely they are found in turds . the eye tears are somewhat bacteriostatic due to saline concentration and lysozyme that can dissolve some bacteria.