But the chances of that happening are slim, given that the Republicans will control both the House and the Senate, and in the end a successful impeachment requires a 2/3 majority. It could happen if he makes enough Republicans angry and/or does something illegal _that they agree should be illegal_. This would likely exclude running afoul of some business law that the current Congress enacts to specifically target his divided interests (like trying to force him to put his business in a blind trust, something that every other president has done by convention).
Then again, the establishment Republicans would probably be much more comfortable with Pence in the driver's seat, so who knows?