There is not any direct option available for this. It will require some custom coding in order to add a new parameter for the media name in the shortcode.
However, I can guide you with a sample code which will give you direction for your custom code.
Please, refer below code: https://gist.github.com/rahul3883/34f4e03957bf6ee93677006e0f6b0f6d
Here is the usage example:
I hope this helps you.