No, each person has a right to their own data. But not "the people", it is the opposite actually.
That entirely depends on local laws. I don't see why it shouldn't be possible for a democracy to pass a law granting such rights.
Would you be happy if anyone could see all you do on social media?
So the people have a right to have access to other individuals personal data?
Sometimes so, tax records are public in some European countries.
To the extent we’re talking about user activity on the site, the people already have access to this data by dint of being the ones who did the things. Sent a tweet, viewed a tweet, clicked a link. They already have it. So what is being asked of X?