I'm I qualified to raise chickens at my backyard
Welcome to BYC.
Do you live within a city limits? If so, you need to defer to the city ordinances and you can verify these by contacting your city hall. If you are outside the city limits you will not be subject to those ordinances, but may want to verify the county ordinances. Also, if you are in an area that falls under an HOA your HOA may restrict your rights beyond what is allowed by the ordinances.
The keeping of chickens is allowed by right as an accessory use to any single-family dwelling in the following residential zoning districts: RSF-1, RSF-2, RSF-3, RSF-4, and RC; subject to the following conditions:
(1) No more than ten chickens are allowed;
(2) Roosters (defined as a male chicken of any age and generally characterized by an ability to crow) and any other crowing chickens are prohibited;
(3) Chickens shall at all times be kept in the rear yard in either a fenced area or covered enclosure;
(4) Covered enclosures shall meet the setback requirements for an accessory structure in the applicable zoning district;
(5) Feed shall be kept in rodent-proof and raccoon-proof enclosed containers;
(6) The area in which the chickens are kept shall be maintained in a sanitary condition, including the regular removal of chicken manure;
(7) Odors from chicken-keeping shall not be detectable at property boundaries; and
(8) Chicken products and/or by-products shall not be sold on the property.
(Ord. No. 130180, § 2, 11-21-13)
If as you claim there is no housing authority for your neighborhood, it appears you can have chickens dependent on your zoning, do a search at the link bellow for 'chicken'