One can see a player's history of games and in-game currency flows in the browser version of the game for PCs:

You will be able to hide your history of games from other players starting from the Sapphire level of the Loyalty Program. You can read more about the loyalty program and its tiers here.

In order to hide your history, you need to go into your profile by tapping on the "gear" icon:

And then tick the highlighted box: