Knowing nothing about your land, it is possible. If the deer dencities are correct it makes sense. However, remember button bucks are 'bucks' also! You probably need to cut those #s on half if you want to talk just about 1.5 year olds or older bucks....'racked' bucks.

However, your drawing of the larger red outline appears to be actually 4 square miles (2 miles to a side). 2 square miles of land would be about 1.4 miles to a side.