Trading eggs

Is it possible to trade pokemon eggs so I can hatch them in another save file and have pokemon without disobeying problems? Before you answer - no I am not talking about egglocke or any other fuzzy modes like that.

Yes, though you’ll be able to see their species, nature and moves in the trade screen.

Also, I’m 90% sure that they’ll have the original save’s OT since eggs are determined when you obtain them from daycare.

Interesting. Bulbapedia says something like this

Just now finished messing around with trading and yes it’s 100% hatched poke will have breeder’s OT. So it doesn’t matter where you hatch the egg. Kinda wasted my time a bit, but it was worth to try anyway.