I've read a few sites explaining how to dry your noodles, and I know the store bought ones are not made with eggs. I tried experimenting with no-egg noodles though and they just came out too gummy. I've not seen any site explicitly saying it's ok to dry egg noodles. Raw egg is kind of a scary thing; I know they do end up cooked eventually, but in the meantime can they get all nasty so they make you sick and/or taste like ash?
I have to say. Yes, it's safe as both Chinese and Italian have been doing that for many years.
The only thing I would say is How are you going to dry your noodles? Usually drying noodles require some device(s) or natural sunlight.
In my opinion, I will make sure the noodles are still fresh and I will dry noodles under the sun. I may leave it under the sun for a longer time which I will make sure all of the moisture in the noodles go away, otherwise, it can go off easily.