5 hours is ok, not the best but you should get something. Green beans and peas do great with a little shade, tomatoes and peppers and corn like it sunny. Good luck.

You could try taping a reflective material like Foylon to a piece of plywood and mounting it along the north side of your garden to reflect sunlight back onto the plants. That will help them get the most from the hours of sunlight they do receive.

You could also try a smaller fruiting variety, like cherry tomatoes, which are more likely set and ripen fruit without as much sun.

I have a raised garden bed that I refer to as my shade garden. I've planted mostly broccoli and cauliflower in it because the garden starts to slowly shade over by 2:00 in the afternoon. It's worked great for me. I suggest you stick with cool weather/partial shade plants for your garage garden.

Maybe consider doing a container garden for you veggies that require more sun. You could buy fancy big pots and work them into your landscaping - otherwise the 5 gallon bucket always does the trick.

If that's the only place you have, then I would go ahead and plant your toms and peppers. Most of my container toms and peppers only get 6 hours of sun, and they do fine. Don't know where you are, but my zone is similar to the Twin Cities, but gets a bit colder at night. Toms won't set fruit if it gets too hot, so maybe if yours are a bit cooler, they'll produce more...worth a shot, and how else will you know? The worst that could happen is you get low production, but you should get something. You can always do what VF suggested and plant a few in containers for back-up.