I'm afraid not now but both, facebook and twitter representations, are already on our to-do list.
Your post may lead to a faster implementation of it. I will keep you up to date.
Thanks for your interest in Catboy! :)
Great! Got another question: What's the current state of the available build? (specifically, pre-alpha, alpha, or beta or..) ?
I'm not sure if pre-alpha is the right term. It's an early (but already somewhat polished) prototype showing the current graphics of one level theme and the current gameplay. Depending on the feedback of testers a lot of things can still change during development.
So I don't think that the playable level of the current prototype will make it into the final game in its current form. The game is planned to be a full-fledged game with a bunch of varying levels and a little story so there is still a lot of work ahead.
We plan to release a new version not later than the end of march that will show more features and certainly also another level theme. Depending on the progress of the next weeks there might also be an in-between version, but I don't want to promise too much ;)