First, look to your city ordinances to see if you can keep chickens, and if so, what the set backs are for your property and any built structures as you will need a coop.
Without knowing actual dimensions, your space looks small but possible for a very small flock, such as 2 or 3 birds, and a small coop which could be set on the far end with the birds foraging the full length of the side.
You would need to add some grass patches and be prepared for a lot of chicken poo that will need to be removed or composted regularly.
You would also need to consider some netting to prevent birds from fence hopping.
I would recommend going small size with bantams such as Cochins or Silkies as they are quieter and calmer. I think D'Uccles are pretty tame. I'd avoid game bantams as they really like to fly.
But, first and foremost, check your ordinances and your neighbors as they are so close. They will get chicken noises, and your set backs are really, really close.
It may prove to be a bit of a tight squeeze...but again we would need to know actual dimensions of the space.
My thoughts.
LofMc