Yes, Longevity noodles dish is one of the most important in Chinese traditions. It’s usually called as Sau mein (壽麵/寿面) in its Chinese Name.
This dish is very important to be served especially during Birthday Celebrations of Chinese people (or also Chinese descents) to wish for long life and also good health (that will direct to long life). Beside, this dish is also important to be served in Chinese New Year in order to start the new year with good wish to live a long life and good health.
The noodles are usually cooked with Chicken as its meat ingredient but there are of course other variations such as for vegetarian one where the meat is not included and instead, is changed with vegetables.
But even if the recipes could be different, either variation has the same wish for the eaters.