As long as the paint isnt "off gassing" you will be fine.
Off gassing is the release of particles into the air as a liquid dries.
Obviously you would not want to breath in any chemicals if you dont need to. An adult, baby, and a chameleon can all be negatively effected by fumes from paint (and other substances). However, they are much more harmful to a baby because they are still new to the world, fragile, and at a critical point of development. Chameleons lungs are supposed to be very sensitive to paint fumes, air fresheners, ect., just anything unnatural that isnt fresh air.
Most if not all paints should have "curing" information on the container, that you should be able to use to figure out how long you need to wait. However, if you can smell the fumes, even a little, the substance is still off gassing. So to be sure you wont harm the animal, Id advise waiting until you can no longer smell the fumes, after not being around them all day.