I do this with my girlfriend sometimes. Not sure how it started, but once in a while now one of us says "hey, wanna touch eyes?" and then we touch eyes. It's actually not easy, you have to find the right angles.
My roommate is always complaining about his contacts drying or running out of new ones, and every time I cringe a little bit because I hate things touching my eyes. Even eye exams freak me out, but I only have to deal with weird things happening to my eyes when I get them. I’ve been trying to convert him back to glasses, but he won’t listen.