Does the UK have a system for impeachment of the prime minister as we do with the president?

Does the UK have a system for impeachment of the prime minister as we do with the president? You may recall that President Bill Clinton was impeached, and was only the 2nd president in U.S. history to have been impeached. Impeachment is a form of a trial. It is possible for a person that is subject to impeachment to be acquitted of the charges, or the "articles of impeachment." So, substitute the word "impeachment" for "trial" and the concepts are generally the same.