Why quit when you can use both?
Here's one disastrously-over-budget attempt at a coal plant with CO2 capture:
https://en.wikipedia.org/wiki/Kemper_Project
Had they forced the plan to completion, it would have generated more expensive electricity than a new nuclear plant. More expensive than battery-backed solar. More expensive than any other utility scale electricity source in the United States.
Of course it isn't cost effective when you can just dig the finished product out of the ground, but conceptually it is easy.