I think I would be more worried that it won't get enough sun.
Yes, but it depends on the orientation of the house and resulting shade.
If this is on the north side of a house you should only consider shade loving plants. Most annuals love more light. Most fruit trees unless they are shade lovers will grow tall and spindly in such conditions trying to find light.
If you want one tree plant it on the extreme outer end and it will grow outwards towards the light you could plant shade lovers back of it. I know of a mango planted directly under a vigorous oak tree. One branch grew horizontal and found it's way out to the sun, then grew up and is making some fruit. So if a tree can find sun it can have it's roots in shade. Here it is: