Answer:
Yes, of course — in fact it already happened 4 times (Bill Clinton [1], Andrew Johnson [1] and Donald Trump [2]).
Step-by-step explanation:
To be impeached, you have to (specifically) a President or other federal official must have committed “treason, bribery, or other high crimes and misdemeanors”, as the Constitution says. But that's different than a misconduct. The again, sometimes that depends on the perspective. You don't really want to impeach someone if you know you won't win; and there have been threats. As Article I, section 2 says, the House of Representatives "shall have the sole Power of Impeachment" and "the Senate shall have the sole Power to try all Impeachments ... [but] no person shall be convicted without the Concurrence of two-thirds of the Members present".
Hope that helped!