I would def say NO...
You know your child well..no question there...you trust your child..even better
but what about the other person/child involved in this..how well do you know them... their friends, their home, their habits..only a naive parent thinks they know everything (not for a moment calling you that) but there are so many factors at play beyond the relationship you hold with your child that make this a bad call IMHO.
I have boys eldest 16.7
No way would I allow him to sleep at a girls place with no adults there, my job is to protect him from himself..until he can make decent decisions ...
with girls they say worst nightmare is coming home pregnant ..
with boys is worrying about who they might get pregnant. and no parent sleepovers at 16-17y/o is just asking for trouble IMHO.
Best of luck mate ,
if they end up married with kids you will be a hero with the MRs ..if it all goes to poo then it will all be your fault ..
Jet