Yes, you can run a portable refrigerator on solar power. This is a great option for extended off-grid adventures. To do this, you'll need a solar panel setup, a solar charge controller, and a deep-cycle battery to store the energy. The solar panel should be able to generate enough power to run the fridge and charge the battery during the day. It's important to calculate your fridge's power consumption and ensure your solar setup is adequate. For example, if your fridge uses 30-50 watts per hour, you'll need a solar panel that can produce at least this much energy consistently.