Can I sell 50% of my house to my son?

Good day, I have a question regarding property ownership and transactions within the family. Is it possible for me, as the owner of a house, to sell 50% of its ownership to my son? I understand that real estate transactions usually involve the transfer of full ownership, but I'm interested in knowing if a partial sale is legally permissible and how it might affect our respective rights and responsibilities. Would this involve any special legal documentation or processes? I appreciate your time and expertise in this matter.