I personally wouldn't risk it. BUT....moving broodies at night is the safest time to do it. In the dark of night. Get everything ready first, new area all ready for her, move the eggs first, then the broody and chick last. Do it slowly as not to scare her, but make it quick and then get out of there. Make sure her new area is very conducive to her wanting to continue in this new area and not abandon the eggs and chick.
Good luck!