This may be a stupid question, but if Kamala were to finish Biden's term, would Trump still be President come January 20?

The Dems are legit talking about having Kamala finish the remainder of Biden's term, with Liz Cheney as her Vice President. As far as I know, there has never been a time in our history where the vice president took over from the sitting president, after the next president had already been elected. And I remember one of my teachers saying the vice president taking over is only temporary, and that they're supposed to have an election. And I also remember one of them saying that LBJ served more than the allotted term limit because he finished JFK's term, then served 2 more of his own terms.

But basically my question is, if Kamala were to finish the remainder of Biden's term, would Trump still be president since he was already elected, or would we have a new election, OR would Kamala just be sworn in and serve for 4 years?

This may be a stupid question, but if Kamala were to finish Biden's term, would Trump still be President come January 20?
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