It's impossible to prove a negative, but it is possible to show that it's very unlikely, and a secret Stanford Torus project is not likely for several reasons:
Constructing any sizable space station would involve thousands of people working for many years. While you could argue that the Ukraine may be able to keep people on-site and off the grid and unable to leak information about the project, it's unlikely that the Nasa side would be so air tight. This is a common argument against faking the moon landings - it's unlikely that thousands of people could work on a project and not let something leak.
There are exceptions, of course, the work at England's Bletchley Park during WWII was so secretive that there is a story of a husband and wife that worked at the facility at the same time, but they didn't reveal it to each other until some of the secrecy of the site was lifted in the 1970's, decades after they worked there.
But Bletchly Park only had around 9000 employees, many of them military and all of them believing that the secrecy of their work was important to their country's survival. And it was well before today's social media that makes sharing private information easy to do inadvertantly.
Constructing a full-size Torus spacestation along with associated heavy lift capability would be on-par with the Apollo project - that project involved over 400,000 workers including NASA employees and contractors. Even the much smaller Mars Rover project employed 700 NASA workers, but involved 7000 other workers at various subcontractors over 8 years.
There's also the issue of money -- the ISS (much smaller than the proposed Torus) was built by an international coalition of nations for an estimated total cost of $150B including the cost of spaceflights to build it and and for ongoing missions.
A "small" Stanford Torus housing only 10,000 people would have to cost at least 100 times as much (likely much more), probably well into the trillions of dollars. Nasa's annual budget is around $18B, so it's not like they could fund it out of their spare change, and the Ukraine's entire GDP is only around $150B so they aren't going to have a lot of money to fund it. Even the USA's GDP is "only" $15T, so it would be hard to secretly fund a project costing trillions of dollars.
A 1.8 km Torus would need around 10M tons of material. The Saturn V rocket used for Apollo missions could launch around 130 tons into Low Earth Orbit, so it would take 76,000 launches to get 10M tons of materials in orbit. This many launches is practically impossible, so any large scale space development would need to obtain materials from the moon or asteroids. And there's no evidence that any country is able to do so at this point.
There's really no way to hide a project of this size (large in terms of workers, cost, and physical scale).