Is there any way that I can edit my SpyderCheckr Color Calibration?
Yes, absolutely!
In fact, one of the big advantages of the Preset system that SpyderCheckr uses for Color Calibration is the ability to see the Calibration adjustments, and tune them to your own needs. Just look in the HSL section of Lightroom or ACR, and you’ll see the corrections which have been applied; adjusthem, viewing a good test image, and save the results as an edited version of your Calibration Preset. Try it out, tweak it as desired, and resave whenever you adjust it.