弹劾 has existed in Chinese governance since the Qin dynasty. Imperial censors (御史, yùshǐ) had the power to impeach officials for misconduct — a system that lasted over 2,000 years.
mistakes
弹 here is pronounced tán (2nd tone, 'to accuse'), not dàn (4th tone, 'bullet'). 劾 (hé) only appears in this word.