Luggage to Narita two weeks in advance?

I'm currently in Tokyo for a study abroad term, and once this program ends I'll travel around Japan for two weeks before returning to Narita and flying back to the US. But during those two weeks it would be inconvenient to carry around all my luggage with me, so would it be possible to send my biggest suitcase ahead to Narita two weeks before my flight? If not, is there anywhere I could store it in Tokyo?

http://www.kuronekoyamato.co.jp/english/company/index.html

I think you can call them to have your luggage picked up for you :)