You'll never compete cost wise with "store bought" chickens. You need to shift your frame of reference. The simple fact is, that food in our country, if it comes from Big Industrial Ag. sells at well below the cost of what it ACTUALLY costs to raise them. The overhead of an industrial chicken farm is astronomical. There are very few farmers that could ever dig their way out of the debt they have put themselves into to be chicken farmers.
Personally, I look at my costs from several angles. My animals live good lives, are loved, (and usually named) and that means more to me than competing with the cost of chicken at the grocery store. Like I said, if you really look at what the REAL cost of food is, you'd see that most of what we buy at regular grocery stores AREN'T as much as they should be. There are subsidies, etc. That help lower the CONSUMER'S costs, but in fact, those "fixes" are really just bandaides on a gaping wound in the food industry.
As to "breaking even" and if it's possible... that has a lot of factors to it. I trade eggs with my Father in Law for all the hay my goats can eat. The eggs I sell help counter my cost to buy feed, and at peak season, my egg sales pay for both my chicken AND my goat grains. When I figure in that then I'm also able to butcher my roosters from my hatches, I consider that I didn't have to PAY to buy the kind of chicken I want to eat. (ie: humanely raised, humanely butchered, free range, etc.) Those kind of chickens go for about $5.00 a pound here, so my chickens, even though they are smaller, are still "worth" $10-15 dollars even on the small end of the scale. That's money I didn't spend to raise them.
Plus, I value the fact that I don't have to BUY eggs... (they kind I would want to buy go for about $2.50-$3.00 here) and that any food we don't eat as a family is eaten by the chickens. No more wasted yogurt, leftovers, or scraps!! Then factor in the OTHER part of my chickens that is valuable: Their POOP. They give me FREE fertilizer that I could also easily sell to others if I didn't use it on my own garden. One bag of chicken poo fertilizer here will run you about $15.00. For a 20lb bag. I get WAY more than that from my chickens, and in the winter, I pour that into my sleeping garden, let the chickens in, and they scratch it into my soil, AND keep the weeds from growing. PLUS, I don't have to till anymore.
So, will you break even? That depends on how much value you put on the things you won't actually SEE money from, but will benefit from. It also means you can't compare apples to oranges. (big ag vs. small farm) At least that's how I look at it.