A friend of Parker's family contacted Gov. Walker's office because Parker wanted to meet Walker.
Parker was born with "hypoplastic left heart syndrome" -- a congenital heart disease.
Parker had his first of three heart surgeries days after he was born, and his last surgery in 2009. He has been on the heart transplant waiting list since February of 2011.
"It's still surreal that I'm on anyone's list," Walker said during the visit. "It's a good reminder about signing up to be a donor on your drivers license, not only for Blake, but for a lot of other kids."
Other things on Parker's wish list include being a zookeeper for a day and going skydiving.