Deer can travel great distance, especially bucks, even up to 15-20 miles a day seeking a doe to bang or even for a particular food source in the winter months during the rut so no I don't think you can really overhunt an area. I mean if you set up in a deer's bedding area your probably gonna force them to move and seek a new area to bed but if your not too close to that I don't think you can really overhunt an area.