As a general rule no, but when DS and DD were 8 and 7, they had a male babysitter, he looked after them in day a few times and organised lots of fun games, he also gave them lunch etc. However, I trusted him and he is a great kid.
Another boy offered and I decided against it, he is a bit of a stoner and something just made me uncomfortable, however I do pay him to do dog walking and the dog likes him.
We've had other teenage girls some they loved others they hated, one collected DD from school twice a week for a year, and they had no rapport, I wasn't worried about safety but they did not get along.
Growing up my parents left me and my brother at home with our male housekeeper in the day, it was all fine and but they only did it when we were older.