Thanks for your question. There is no built-in MLA feature for this task, but you can use the “MLA Custom Field and IPTC/EXIF Mapping Actions and Filters (Hooks)” to do it if you are willing to write a bit of PHP code. You can find more information and some examples in the Settings/Media Library Assistant Documentation tab.
You can also get some ideas from this earlier support topic:
Taxonomy term mapping only if term already exists
It is not clear from your post whether the “file names” you want to change are the WordPress Title field or the actual file name, e.g., image.jpg, in the file system. Changing the Title field is quite safe, but changing the actual name in the file system can be dangerous. If your server’s operating system is case-sensitive with respect to file names, “image.jpg” and “IMAGE.jpg” are not the same. If you change names to all lowercase, existing references to the files will no longer work. Make sure you know if this applies to your server.
I will leave this topic unresolved for now. Please let me know if these suggestions help and if you need more specific guidance on how to proceed.
Thanks for your interest in the plugin.