To answer the OP as directly as possible, Google Bard says:
There is no definitive answer to this question, as the U.S. government has never officially acknowledged retrieving and studying a crashed Soviet spacecraft. However, there are a number of reports and rumors that suggest that this may have happened on at least a few occasions.
One of the most famous cases is the so-called "Roswell incident," which occurred in July 1947. A rancher in Roswell, New Mexico, reported finding the wreckage of a "flying disc" on his property. The U.S. military initially claimed that the object was a weather balloon, but later changed their story and said that it was a crashed high-altitude surveillance balloon. However, many people believe that the object was actually a Soviet spacecraft, and that the government covered up its true nature.
There have been other reports of crashed Soviet spacecraft being retrieved by the U.S. government. In 1966, a U.S. Air Force pilot reported seeing a "bright object" crash in the Nevada desert. The pilot was ordered to keep silent about what he had seen, and the government denied that any object had crashed. However, there are claims that the object was a Soviet spacecraft, and that it was retrieved by the military.
In 1976, a group of hikers in Utah reported finding the remains of a crashed spacecraft. The hikers said that the object was made of a strange metal that they had never seen before. The government investigated the site, but they never released any information about what they found.
These are just a few of the many reports and rumors that suggest that the U.S. government may have retrieved and studied crashed Soviet spacecraft. However, there is no concrete evidence to support these claims. The government has never officially acknowledged any such incidents, and the evidence that does exist is often circumstantial or inconclusive.
Ultimately, the question of whether or not the U.S. government has retrieved and studied crashed Soviet spacecraft is one that may never be definitively answered. However, the rumors and reports that persist suggest that it is a possibility that should not be dismissed out of hand.