Unfortunately not. There is no such dynamic naming feature.
Could you tell what you want to achive? There are many workarounds and solutions but all depends on the requirements.
For example, you can create fake user list (wich you will have to maintain regularly). Or publish a line item to show current user and dimensioned by user list only...0
@Dev_08 Users can only use by Dimension. If you can share, What you want to achieve then we can discuss the way to get your result.