Chickens are considered poultry so I would say that it is not allowed.
HOA Restriction - Page 7
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This is an old thread but wanted to reply anyway. I once lived in a newer style neighborhood with a fairly strict HOA. While I have seen another in an older neighborhood get away with the "pet" chicken title, most HOA's will not allow chickens (or livestock). If you want to breed something quiet for meat then build a rabbit hutch the same color as your house. Rabbits are great pets and ideal for small, low freedom yards.
But a rabbit, in my humble opinion, does not stand up to the chicken. Chickens give eggs, meat and they are interesting to observe. If you can, move. If it seems impossible, keep trying to find a way. If you are stuck in that house or love that neighborhood, seek to change the rules with the ruling class. For whatever reason, some retired folks dislike personal (yard) freedoms. They ride around on their golf carts with a measuring stick and a digital camera. Chickens are great and worth the battle. If they want to outlaw something, outlaw golf carts and make them (the ruling class_)supervise on donkeys. Good fertilizer and it would also make for great entertainment. Good Luck!