I saw here on the forum that after some time banned accounts can gain a new appeal, I have an account with the nick: M4niak_br which is banned by macro and is almost 4 years old I would like to know if there really is a possibility of having a second chance or if not.
Appeals are provided at the discretion of Jagex.
They have upgraded the Appeal System several times in recent years and a consequence of this was that appealable bans got another appeal chance. The last time this happened was about a year ago. If your account received another appeal chance, it would show up in the 'Account Status' tab next to the offence.
In 2020/21 Jagex did a couple of mass unbans of macro banned accounts that had old bans. If your ban was dated 2019 or later, it would have been too recent to be included in the mass unban.
If there is no appeal available in the Account Status tab, there isn't much you can do right now to get the account back into the game. But the future may bring another chance. We just don't know what might happen.