Apparently eggs have already been done, as has milk that can be turned into cheese

Although it's a different process

Rather than grow them by duplicating existing cells, instead you GMO brewer's yeast to produce the proteins you want, similar to how we make insulin now, and then add the few things you can't get the yeast to provide (which with sufficient tinkering, is basically just the shell, and even that can be substituted with plastic containers)