Probably depends on the phone.
The interface may not provide an easy way to export, but assuming the files are stored locally.. you should be able to connect the phone to a PC and export the files from the system folder where they are stored.
You can likely also find a file/folder browser application on google play which would allow you to do the same from the device itself.
I've used a program called ES file explorer in the past, but I can't really comment on the trustworthiness of that particular software. I only tried it because the company has some very useful PC software for arranging disk partitions and data.
Edit:EaseUS is apparently based in china, so I don't recommend that application.
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