Any animal can bite domesticated or not.
But I don't consider an snake a domesticated animal. They are my pets but are still a wild animal IMO. I know they don't give two flips about me and can survive just fine without human help.
But I still care for them and enjoy handling them. They learn to tolerate us. Even some easy going wild snakes can be picked up and handled without much reaction. They quickly realize you aren't going to eat them then they are fine.