Do you have to wear socks all the time in the house?

Do you have. Not if you are healthy,do not have rash from athlete's foot or warts that you can transmit to other people in the house. Diabetics and people with poor circulation need to wear slippers so that they do not step on anything and cause sores on feet.If your feet do not get cold, you can do whaterver you want.
No. There's no medical indication to wearing socks in the house at any time. It's more of a comfort, warmth, and safety thing. It's up to you. Depending on your medical history and condition of your house, you could go barefoot or wear slippers/shoes. Whatever you like.