You could maybe impeach them both fast enough to prevent it. We are no where close to the first step of that though (electing a Speaker of the House that has not partnered in the corruption).
Impeaching without conviction won't do jack. We need 67 senators to convict. I honestly don't know what it would take for that many rep senators to vote to convict.
The Senate shall have the sole Power to try all Impeachments. ... And no Person shall be convicted without the Concurrence of two thirds of the Members present.
We are not near the first step and will never be near the second step. Conviction requires a 2/3 majority.
The only way that could ever happen is for the Republicans themselves to decide that they're done with the administration. Whatever could possibly cause that, the composition of the House wouldn't matter.