What you want is not texture baking, texture baking means baking indirect lighting onto a texture map, to avoid recomputing the illumination over a surface, useful to speed up the rendering process of an animation, for example, to be simple, it recreates a texture map with the  indirect illumination "pasted" on it. Vue Infinite can do this, yes.
What you want is  incorporating the texture into the scene, so you can open your scene on another machine without the need to have the texture on the new machine, or to have the texture incorporated into a material without the need to browse your computer to retrieve the texture when loading this material, am I right?
If so, easily done, when saving your scene or material, tick the "incorporate texture map" box in the saving dialog box.