Not really, Aud, no. But I found what you said interesting 🤔
The Islamic/ Arabic calendar is based on the lunar system though. We observe the new crescent at the end of every month on the day 29th and if we couldn’t observe it we complete 30 days of that month and a new month begins the next day automatically. Arabic months consist on either 29 or 30 days, so we have 354/355 days a year.
If we have a special occasion that starts at the beginning of an Islamic month like Ramadan or Eid Al-Fitr, in this case we do wish each other a blessed Ramadan/ Eid. Otherwise the new crescent 🌙 isn’t normally an occasion to congratulate each other because it’s just the beginning of a new month 🍀