No, but they can take that information and use it to uplift their population over time to higher and higher TLs. This may rapidly move them to the Understanding TL for some forces. As they backwards engineer the knowledge into being able to actually start to manipulate those forces, they can start to reach the Manipulation TL of those forces, but this will take some time, obviously.
This is why TL is determined, in this model, based on Understanding, Manipulating, and Mastery. Knowledge is the Understanding level. You can't build stuff with understanding, except concerts and mathematical models. Manipulating those forces would be a higher TL.
Building the facility still requires Manipulation-TL, working there just requires Understanding-TL.
Nope. They just have to be at the Understanding-TL or they won't even be able to use the technology that the Manipulation-TL factory produces.
This is why TL needs to be broken down into Understanding, Manipulation, and Mastery. It is also not based upon the technology the world possesses but their understanding, manipulation, and mastery of said forces. You can be of a high TL and have no technology if you can do those things with Psionics or other biological processes. It should not be just about building machines, from a lever to a sentient computer. Those are methods of going up the tech tree, but they aren't the only paths. TL should reflect all of those options.
Just an idea, but I think it would work universally in a game like Traveller.