If you really bond with them, ask the person first if they want the same as you, if you want a relationship I think it would be better and more special to wait because sex without feelings is just boring and vapid, at least to me.
I had sex with a guy once on the first date and after that we both moved on, sex should be more than a physical experience, at least to me. But you're free to do what you want.
Of course. If the date went well, or if you're doing something at your house specifically (like watching movies, playing games or drinking/smoking, etc) then If you're both cool with it then who cares