It all depends on how you define the word "nevertheless":

Judgment in Cases of Impeachment shall not extend further than to removal from Office, and disqualification to hold and enjoy any Office of honor, Trust or Profit under the United States: but the Party convicted shall nevertheless be liable and subject to Indictment, Trial, Judgment and Punishment, according to Law.

Could this be interpreted to mean that the power to impeach solely extends to the question of removal from office, and that the President is subject to the law to the same extent as any average Joe? It never explicitly says that the President must be impeached first. It only seems like it does.