Yes, it's completely out of the realm of possibility.
If (IF!) The DNC is able to arm a majority of Democratic MPs to vote on the impeachment articles, it is an indictment and the Senate is holding the trial. The impeachment charge itself has no effect on the president.
To convict the president of a crime, a vote of "Guilty" by 67 senators is required. That will not happen.
Note that the Senate has the option to dismiss the impeachment articles as unfounded as they are. Trump, however, is calling for a lawsuit if the house is correct for the impeachment. Through a process, he can summon members of Congress and high-ranking representatives of the Obama administration and ask them questions under oath. You don't want to have to do that.