Can Hair Transplant Correct an Extreme Hairline Cowlick? (Photo)

I have probably the most extreme hairline cowlick I've ever seen, it looks as if I'm bald on half of my head and I've had this since I was born. I have very long hair so its difficult too see right now and I just wear a hat everyday but I want to fix it, I attached pics from when I was younger with a hair length that shows it. Could the hair on my hairline be removed & repositioned to have a normal growth pattern? Or is this beyond? Should I just get a hair unit? Thanks