No reason to believe. You can read about the storage architecture used to store photos from a post in 2009 here: https://code.facebook.com/posts/685565858139515/needle-in-a-.... Obviously that might and probably has changed since, but at least at some point that was exactly true.
Quote:
"The delete operation is simple – it marks the needle in the haystack store as deleted by setting a “deleted” bit in the flags field of the needle. However, the associated index record is not modified in any way so an application could end up referencing a deleted needle. A read operation for such a needle will see the “deleted” flag and fail the operation with an appropriate error. The space of a deleted needle is not reclaimed in any way. The only way to reclaim space from deleted needles is to compact the haystack (see below)."