@Chris Camargo (chriscamargo) you can! Like Sebastian said above, go to the smoke domain, go to its shader nodes, and type "color" in the box called "Color Attribute"

Fair enough, but I feel like it's kinda weird that the option is there in plain sight, if it doesn't map by default.
@Sebastian Parborg (zeddb) you seem knowledgeable, can I ask you how I do map the smoke color attribute to the color?