you need perms from manager + to apply earlier, and unless a now demoted manager gave perms from back then (extremely unlikely) then it would not be possible.
inw: in order for this to actually be possible, the stars would have to align in ridiculous ways. if he was born before October, then he would be mathematically impossible to be close to 13 at all, and after October he would only have to wait 2 months tops to be able to apply at the allowed age, and the only managers that were active during that time were Vera, Rohan and evity (thanks to the Wayback machine) so unless one of them did it during that time, it did not happen.