You certainly can if that is what you want to do.
That is how I started. With chicks from the feed store. Some were sex linked cockerels that you could get free with a bag of feed. They were not pretty but their daughters made for good layers. They make good crosses with heavy birds because they have very fast growth rates. Plus the males are a dime a dozen. Ironic.
Some would say that you should not, but I disagree. If you want to experiment with it, go for it. It can actually be fun, and we have access to genetics that we never had before in history. The sky is the limit. Do as you please.
Check out that ALBC summary. It has some illustrations. Take the time and purchase "Genetics of the Fowl" by Hutt off of Amazon. It is a good place to start for beginners.
The Hogan method is outdated, but that does not mean none of it is helpful. That is why I suggest the ALBC summary. Just keep in mind, a snap shot in time does not define a layer.
Ron is right. The best way to evaluate a pullet is by counting her eggs. We can't possible be breeding for production if we are not fully evaluating them. A good layer is the sum of her characteristics. The eggs are the proof in the pudding. Anything less is just chatter and speculation.
I cannot trap nest. It isn't absolutely necessary.
So how do you evaluate a hens production capabilities with out trap nesting?