No. Not only is Sodium (more accurately: NaCl) not a TLS library, but it doesn't even implement the primitives that TLS needs; it can't really even serve as a component of another TLS library.
When you say 'more accurately: NaCl', is there something particular you're getting at, or are you speaking from experience of NaCl rather than Sodium (or are you talking about the fact that the bindings seem to be named/built for the original NaCl?)
Edit: or do you just think it's still better to call it NaCl given that it's a fork of, or I suppose a refined implementation of NaCl?