The Stanford Research Institute was established by Stanford University in 1946 as a research innovation centre. It started a number of important developments such as the computer mouse and inkjet printing. It separated from Stanford Uni in 1970 and became SRI International.
Alongside their legitimate research, SRI also became involved in some more esoteric projects, some of which were sponsored by the CIA. These included "research" into remote viewing and telekinesis. They also tested some subjects such as Uri Geller.
The parapsychology research at SRI finished in 1991, and their present website does not indicate any outlandish projects. At that time their psychic programme was transferred to the Stargate Project, until its demise and declassification in 1995
One of the main proponents of Stargate was Maj Gen Albert Stubblebine, whose "research" was immortalised in the movie "The Men who Stare at Goats".
So yes, the US military and other departments engaged in psychic nonsense. And , of course, nothing ever came of any of these projects.
SRI International still exists, but their activities now seem to be limited to legitimate research.