Curling Yucca Leaves

Your plant appears to be a Yucca elephantipes, and is it possibly a recent cutting? Yucca cuttings should have at least a week to dry off before planting. During the time the cutting is developing roots it is not unusual for the leaves to curl as there are no roots bringing water up into the plant. Your soil looks wet. I would suggest two things. First choice, don’t water again until the soil has gone almost completely dry, and then water. This might be enough to get the roots working provided they haven’t suffered a severe rot. Second, remove the plant from the soil and hose off the root end clean. Give it a week to ten days to just lay around out of direct sun and then plant it up in a new, fresh, well draining soil mix. Give it a good drink and don’t water again until the soil is almost dry. This will hopefully have started some new healthy roots. You may still see some leaf curl but it should stop with the new leaves that come out of the center as it starts growing.