Yep, may I present exhibit A, Dishonorable Alcee Hastings, who got impeached for being a crooked judge so he decided to join the body that impeached him! That is, until they threw his ass out of there too.
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Hastings was taking bribes. When SanFranNan was elected Speaker, he was next in traditional seniority to take over the chairmanship of the House Intelligence committee.
Pelosi had to be walked through as to why trusting a guy removed as a Federal judge for taking bribes was not a good idea to let handle national security information.
And if the Congress that removed Hastings had done its job, it could have prevented him from running for Federal office in Hastings impeachment act.