Obduction is set to get HTC Vive and Oculus Touch compatibility today on Steam, GOG, Humble Store and Oculus Store for $29.99, according to the press release that was issued last month from Cyan. Existing owners of the game will get it via free update.
At this time, the game is tagged to have HTC Vive, Oculus Rift and OSVR but with Gamepad input. Hopefully Oculus Touch will be ready at a later time today.
Obduction will also be coming to Playstation VR at a later date.