Possible; but I'd say very unlikely. Pence will probably be the nominee in 2024 and has a good chance at winning his own term in 2020 barring a horribly timed recession.
I do think that the first gop President in a post 2024 Democratic realignment will be in 2036 or 2040 and it'll be a millennial woman (possibly born in the 90's) and a moderate.
So the Republicans would have their own Bill Clinton or dare I say Jimmy Carter to take the party back to the center of the political spectrum in 2036 or 2040.