Only if the Senate approves, which they won't.
the House impeaches & the Senate votes on whether or not to convict & remove from office
Bill Clinton was (unwisely) impeached, but not removed from office (it was really a bad move to impeach him, just as it would be unwise for the House to move on impeachment against Trump)
there is zero chance the Senate would vote to remove Trump. I actually doubt that they have enough votes in the House (too many red district Dems that want to get re-elected; a vote to impeach guarantees they lose in 2020 & they know it)
I am going to tell you what the future holds, when this happens, remember you heard here 1st from USMBs very own Nostradamus
Impeachment proceeding against Trump will not commence until AFTER Ruth Buzzy Ginsburg "retires"
if she does not retire before 2020; the House will not move to impeach at all. However, IF she does "retire" - impeachment proceeding will immediately begin & our friends on the left, aided by their sycophants in the media, will begin to claim that a POTUS under impeachment cannot select a SCOTUS Justice
Cocaine Mitch, our very own Turtle himself, will not buy into that line of reasoning & will fight to push Trump's selection through.
Like I said, just remember that you heard it here 1st