It depends. Twitter used to be friendlier to that, as it started off as a way to “group text” people. But now there’s no easy text interface.
But Facebook on the other hand, _does_ have its “mbasic facebook com” site which looks straight out of early 2000s. Very simple HTML that can read by any web browser, including old text mode.
So that’s an “in”.
Now, c64 _was_ modem friendly, so that’s a plus.
You can hook up it up to the internet and access TELNET sites. so that allows for the BBS’ that are online.
So the next thing would be: does it have a working web browser? If it does, then it probably can.