Color calibration with a color chart
I'm not aware of any that work directly in Premiere, however I can use my Spyder Checkr24 to either adjust my videos in Adobe Lightroom or DaVinci Resolve.  For Lightroom, I use the software that came with my Spyder Checkr to make a preset I can apply.  In Resolve, there is actually built in native support for working with the swatches.

There are also other third party tools available that I haven't really looked in to, so I can't say for certain that there isn't a way to do it directly in Premiere with a third party tool, but the way I've been doing it has worked well enough that I have not bothered to look any further in to doing it directly in Premiere.

For more details on how things work in Resolve, you can check out this video or if you have a decent idea about how to use Resolve already, take note of the steps in this screenshot.  Start with 0 by choosing the target you are using on the Color workspace.  Then select the color match grid tool on the preview screen(1).  Position the grid over your color target during a portion of the clip that has the target visible (2).  Finally, hit Match(3) in order to have it generate the color correction profile for the clip.