Yes, the US invaded Russia. The invasion took place about a century ago when the rift between Bolshevik forces and its opposition led to a civil war. The civil war was a product of the October revolution when the Bolsheviks broke away from the Russian Social Democratic Party. During this period, the Germans and the Australians were also extending their territories into both the western and the southern part of Russia.
To save the situation from escalating, the US, together with other countries like Japan, France, Britain, Italy, invaded Russia from the North. The Russians misunderstood the reason behind the invasion of their land by the US military, thinking they wanted to escalate the civil war. However, the US military responded by saying, its decision to invade Russia was to prevent the Germans from intercepting the allied military weapons. They also stated that they needed to invade Russia so as to protect the Czech Legion.