It can be done -- using a mask -- but the mask would also have to move and change shape to follow the individual around the clip.
You can also output a filmstrip and then work on each individual frame, like the pros do. But they can afford to spend hours and hours on a few seconds of video.
So the short answer is no. There's no easy way to do it.
Pre-requisite: the color of the person clothes, skin, and hairs are very different from the background.
Step1: add the chroma key VideoFX and select the background colors (maybe you will need to apply the filter several times as a chain of VideoFX in order to be able to cut all the background colors), modify the chroma parameters till you can cut out the background and leave the person. If you manage to do this, then, use this video as an overlay of a solid color, which must be completely different from any color of the person. Apply the color corrections and render the video. The result should be a video with the color-corrected person and the rest filled with a unique color (you will need this for step 2), which probably has also been color-corrected. Important is that the color-corrected background is now not too similar to the color of the person.
Step 2: go back to the original video, add the chroma key again, but this time on the person colors (again, you might need more chroma keys in chain).
Add the video rendered in step 1 as an overlay and add the chroma key to make the background (which is just a shape filled with the unique color in step 1) transparent.
The result should be the color-corrected person over the original background.
Not sure if it works, but you can try.