Would it be possible for you to have a parrot? Yes, it would. That is the short answer.
Now, I would suggest that you examine why you would want a parrot for a companion animal. Parrots are loud and destructive, they bite and are not predisposed to following orders or commands and their medical bill are expensive. Some of them will outlive you and they never grow up, in that they are like having the same child of between 4 to 6 years old for 50 to 80 years.
What I am trying to say is that we are easily impressed by what these birds can do, but we rarely are informed about the things that they do that we don't want them to do, and most of these things are natural behaviors that we must accept and live with as they can't be trained out of them. Parrots are not the best choice for a pet. I just think you need to do your homework and look at both sides of the coin before acting as there are reasons that there are so many in rescues.