Yes, you can use the Uploads feature for this.
Here is some more info around this topic:
Can I upload audiobooks to Snipd? Yes, you can upload any DRM-free audio file.
Can I get my Audible audiobooks into Snipd? Yes, but you need to use a tool like Libation to get a DRM-free version of it for personal use.
Where can I buy DRM-free audiobooks? Check out Libra.fm (recommended by one of our users)
How do I upload from my computer to Snipd? Go to https://upload.snipd.com/