Can Snakes live in Your home without you knowing anything about it?

I think they can. They hide most of the time anyway so you may never see them

They most definitely can. You're talking about animals that have evolved over thousands and thousands of years to be silent, effective predators.

I would feel comfortable saying that most homes have some kind of snake living in them somewhere, be it under the house, in a crawl space or in a basement.

I seriously doubt it. If you want to get paranoid worry about roaches.