I've never used any online components in my scripts before, however I was thinking about implementing a "high scores" table into a certain one I have in the works.

While one can obviously do an offline version that only tracks the user's scores, I was wondering if it was possible to somehow load a set of "high scores" from online somewhere (SexScripts site, private server, etc.) and upload player "scores" to it if they do better than the current ones?

Yes, it is possible. You can see The spank bid as an example, we talked about it last year here.