I bought an adult pigeon, which blew up a nest of little pigeons at home, flew for half a year, and then came back alone. Can it still match? Can it walk?

This kind of pigeon will definitely walk again, because dovecote on both sides has been memorized, so you can choose any one. Unless the original pigeon has a good relationship, rushing after you go will make it feel scared and break up after several scares. If you don't go back to your original place, no matter where you stay for half a year, you may leave an impression and it is easy to go again.