Maybe. A minimum of 6-9 hours of sun is needed for most veggies that have “fruits”, such as tomatoes. That doesn’t necessarily mean direct sun.
In fact, if the temps are very hot, they appreciate the shade. Even when there is shade, the light usually dapples through all during the day. The light intensity is also greater than it would be indoors in front of a window.
The back of my house faces southwest, and my raised beds are along the lower patio. They get no morning sun, as they are shaded by the house. In the afternoon one of those is shaded most of the day by a tree. I can grow lettuce there all summer long-the shade is beneficial.
What you could do is experiment by putting things in pots this year, and see which ones will grow there. If a pot is struggling, then move it to a sunnier spot. The ones that do well enough, you can transplant or just let them grow, take note and direct plant them next year.
That’s a good idea! I don’t want to buy more expensive shrubs if I can grow edibles there. But if I can get the choys to grow there, I’d be really happy. I wonder if Daikon would like those conditions. I love that stuff for salads and soups and stir fries.