Hi Jesse:
In that climate (Mediterranean) with that exposure (southern with reflected light/heat) and in that location (next to the sidewalk) with no irrigation, I would consider the following:
--using that area as a nectary for native pollinators (birds, bees) instead of for food plants per se. Whatever you plant there basically has to survive extremes of that climate and rely on rainwater from what I'm getting from your description. You need TOUGH plants for that space. Maybe not as tough as what I need in Phoenix but a lot tougher than, say, Portland or San Francisco.
--if you plant food crops there, keep in mind that these will probably be peed on by passing dogs unless they have fruit that is held up off the ground. I grew herbs in my sidewalk garden and then noticed just how many dogs "marked" these as their own. I don't grow edibles in these "public facing" spaces any more. I grow grasses, succulents, flowers and shrubs that burst with visiting urban wildlife.
--woody plants are going to stand up a lot better against that reflected light from the wall than most herbaceous plants.
--if you do want food plants, passion vine (especially the "Baja" version) and pomegranate might do well there after establishment (they will need supplemental water for 2 yrs). If you plant both of these, you'll have a "purple and red-orange" color scheme going on. Consider planting some native flowers and grasses to fill in that area that complement that theme and bloom at different times of the year. This is what I essentially
designed for a strip here in Phoenix that is in between two driveways on the west side of the property (hottest side, surrounded by hot, reflected surfaces with 100 days of temps between 100-120! In other words -
the garden IN hell! LOL)