No, otherwise, people could hack accounts, then change the name to where the victim could never have EA trace it.
There's other reasons, but that's the big one.
There's almost no internet services out there that allow their account names to be changed - especially when they are a separate name from the display name.
For non-games, they tell you to create a new account, if the even allow that.
Games are a bit more complicated, but they have similar motivations.