No there are events where the residents of the "server" are assembled. Sometimes multiple servers together. In any case, the MC is gonna get laid (for those who really care about that), but that's pretty insignificant compared to what else happens. There will be various times and circumstances where he's not alone. He'll also end up necessarily socializing with the residents of various "levels". These trap themed levels are just the start of it.
and that aside -
This is no game. The various "levels" are entire worlds trapped in the "Tutorial", which get state reset each time. So you'd have people dying over and over, the same events repeating over and over, etc.