There have been only six successful prosecutions for lying to Congress in the 60 years up to 2006.[1] One from the Red Scare, two from Watergate, two federal employees who lied about dealings with suppliers, and one involving the CEO of an insurer who filed false financial statements. Congress can do this if it wants to, but seldom bothers.
[1] https://www.qu.edu/prebuilt/pdf/SchoolLaw/LawReviewLibrary/2...