Is there a way where I can export information into a text file ? For example;

A moderator bans a player.

After the ban, the text file writes

[Time]: [Moderator] banned [Target] from server because of [reason].

After it written for the first time. Can I make it so it rights something under it the next time it happens? For example;

[Time]: [Moderator] banned [Target] from server because of [reason].
[Time2]: [Moderator] banned [Target2] from server because of [reason2].

Is it possible?