Can drinking milk everyday could lower your iron level?

Doubt so in adults: In infants less than 1 year of age, experts say never to give cow milk as it has low iron levels and in the very young iron absorption is messed up by milk/calcium in general. In adults i believe this is much less of an issue, assuming you have no anemia to begin with. I think an adult would have to drink a lot of milk to effect their iron levels. Theoretically possible though!