Every polymer has additives in it (stabilizers, processing aids, UV-protects, antioxidants, slip agents.... and on and on), and any of them can leach out into the environment given time and favorable chemistry. For commercial grade food packaging, none of these agents are permitted to migrate into foods at unsafe levels under intended conditions of use. If you are using the material in a way that is wasn't intended, of course, or are using plastics that were never intended to come into contact with food, then obviously all bets are off.
(Note also that the properties of the food make a difference. Just because something migrates onto oil-treated wood - which has chemical properties very similar to a polyolefin plastic - doesn't mean it will come out into food on the same scale over the time period. A time period which, by the way, is far longer than most people would use plastic wrap for food.)