Sorry but no! On my corner of the world it's not allowed but more importantly it's dangerous. When riding your bike you must have all your senses fully engaged. First day I got on my new ride my dad gave me a piece of biker wisdom: You are the weakest and smallest vehicle () on the road, watch out and drive like nobody can see you or cares about you.
() Bicycles and other light vehicles excluded
I ride with AirPods on, no content playing, just transparency mode. It cuts harsh wind noise, maintains 3D acoustics, and keeps me safer as a result. They’re a hearing aid for me in this case.
You may want to get some passive ear protection though, active noise canceling is not the same as noise protection.
Unless you drive slowly, I find that driving at 60 kph max is still comfortable on the ears.
No, riding for a long time without ear protection will damage your ears. Ear plugs at least are recommended. I am not hearing anything over the wind and engine noise anyway.