Yes, it should recover as the leaves will get full light again and give the plant some energy to grow with.
However, it has come from somewhere: usually this grows on the sticky secretions of aphids or other sapsuckers, so a good inspection is needed so you can get rid of them. Could be tiny scale insects lying along the veins on the underside of the leaves. What ever it is, a wipe with a cotton wool pad soaked in meths will see them off without damaging the plant
As the mould is worse lower down, it looks more likely there are bugs on the plant itself rather than something overhanging your pot
