No, the “pay-mes” and colored water for the girls on the bar’s payroll from unsuspecting guys.
That was Feynman, and it wasn’t fictional. 
If you add someone now and they decline, it asks them if they know you outside of Facebook. If they click no, you get the screen that BigT got, telling you to stop bugging strangers.
As a woman on the internet, I appreciate this. I get several friend requests a week from weirdo dudes I do not know, rarely along with messages. When the messages do come, they are gold. My favorite came back in June, it said:
Romance.