I mean he was able to transfer his unique character from another game, so I guess not. Also I bet people are able to get the same name as others in the future MMORPGs, just like how people can carry the same name as others IRL but look different.
Day 23 - Favourite attack - Kiritos Starburst Stream from Sword Art Online - One word. When Kirito revealed his duel wielding skill and came out with this attack that took out a boss on its own is just. the most badass attack ever!