The answer is yes but at reduced power. Check out this video I made yesterday showing you how much power I was getting on a very cloudy day in Seattle. I’m a super nerd I know… and this is just a temporary solar power test. I don’t recommend connecting wire like I did or didn’t do here, this was just temporary. I didn’t have my coffee before I made this video. 
This was the same solar panel and battery we had before we got robbed. I took it down after that but it was attached to the shed and lighted 3 lights, charged tool batteries and ran a radio. We have never run out of power but we also didn’t have the cabin hooked up yet so we hardly used any juice. I’ll let you know how our small system does when I get the cabin wired up to make it convenient for people to use AC and DC power. Look for future posts on this, I’m planning our cabin solar system wiring diagram now and having fun doing it.
Solar Components I have so far:
2 – 75 watt solar panels (probably use just one)
1 – Group 29 Interstate Deep Cycle battery
Xantrex C40 – charge controller
3 Circuit Boat fuse panel
