In short no.
If you need to use a different name for your Storage Account, you would typically need to create a new account with the desired name, and then move the data and any associated configurations to the new account. Here's a general procedure you could follow:
Start by creating a new Storage Account in the Azure Portal with the desired name.
Then use Azure Storage Explorer, AzCopy, or any other tool you prefer to copy the data from the old Storage Account to the new one.
If you have any applications or services that are referencing the old Storage Account, you will need to update those references to point to the new Storage Account.
Once you've confirmed that everything has been moved successfully and is working as expected, you can delete the old Storage Account.