If you are light limited, you will be limited mostly to leafy vegetables such as lettuce, spinach, swiss chard and kale. Many herbs can grow in low light.

Forget about tomatoes, peppers and fruits for the most part. There may be some dwarf varieties that may work such as Tiny Tims for example but you'll have to experiment to see what works and what's worthwhile.

Can you put up hanging baskets? They might get more light. I found a topsy turvy strawberry planter that has 14 holes on the sides and one on the bottom. Not too keen on putting one on the bottom, but that type of planter might work for you. I would try a tomato and a pepper just to see how they do. Maybe a cherry tomato?

Three foot tall table might help

Inside shelving mounted on fence for elevating containers ?
I think it's about or shortly after 1 PM when you took the pic keeping in mind morning full sun isn't the same as mid later day full sun you may have a better part to full shade then a full sun a big perk is keeping any plants you choose cooler during the heat of the day...
Off a bit from your intended topic but ask about a community gardening area or maybe even a condo use gardening area as well.