Yes. Ideally you wouldn't need grow lights. The plants would thank you for natural sunlight. You would need to choose the right fish for your temperatures. Tilapia fish can tolerate temperatures from 17 to 35 celcious but their ideal temperature is around 25.

If you live in a warm climate then you might benefit from visiting the Australian Aquaponics site http://www.backyardaquaponics.com/ they have a forum and they sell equipment and
info and services.

You can also lookup the work of "Nate storey" on youtube.