Not at all. Look at the arguments...

Function	POSIX equivalent	Purpose of Function
CORE::gmtime	POSIX::gmtime	Returns GMT time components from epoch time.
Time::Local::timegm	[none]	Returns the epoch time from GMT time components.
CORE::localtime	POSIX::localtime	Returns local time components from epoch time.
Time::Local::timelocal	POSIX::mktime	Returns the epoch time from local time components.

POSIX is missing the very function that's needed here.