I don't think it's possible to generate a volume texture from a single image. Maybe if you'd explain what you're trying to achieve I could help you.
Viewing post in Pseudo Volume Generator (3D Texture) comments
Is to be used in Unreal Engine. Seems Blender or Houdini with some SideFX node , giving a texture like 256x256, they can generate a volume texture, which outputs a 4096x4096 image with a 16x16 grid of 256x256 texture resolution, so they can be used to map any model seamless without need of triplanar mapping.
So i was looking a standalone app that picks a texture and converts/generate into a volutme texture (flipbook) ready to be used.
Now I think I understand what you're trying to achieve. So basically the texture just needs to be repeated in a grid pattern so it looks like a flipbook.
But doing this for a volume texture would just mean to extrude the texture on one axis - there would be no real "3Dness" because all the layers look the same.
I don't think I'll implement something like that since you can basically do this with some software like Gimp etc. It's just a bit tideous.
Oh not that, my question was if there will be some way to create that "3Dness" from a single texture. Not repeat the same texture X times, because as you said, then will be 2 axis just extruded.
One of the simple ideas was move/span in wrap mode the texture, one pixel left&down, in each slice/tile, to avoid that extrusion, still the result not will be as nice as a real volume texture but may works enough.
Other method will be more complex, like keep the center of the texture 254x254 , and the borders used for the other axis, change in each slice to recreate that 256x256 texture in the other sides/axis. 0 extrusion, each face will have that texture.
No idea how this ideas may work, at the end, is some method that from a single seamless texture, the tool can do the process and give you a volume texture, with no extrusion, so you can map any object seamless in any face.