It is not traditional, maybe not appropriate to some, to associate the iconic characters of Father Time and Baby New Year with the Jewish New Year Rosh Hashanah, which begins next week on the evening of September 6.
I don’t see why they can’t be a little part of the holiday.
Rosh Hashanah and the ten days that end with Yom Kippur, the Day of Atonement, are filled with reminders about the passage of time and with suggestions about how to start fresh and new. So a couple more reminders can’t hurt.
Note that while Baby New Year may not be quite as old as Judaism, the character does go back pretty far. It was first used by the Greeks around the 6th century BCE. So it is very likely that Jews knew about Baby New Year over the centuries, even if it didn’t end up in Rosh Hashanah.