I do not think that is likely. Pet birds are almost always indoors all the time. That prevents them from coming into direct contact with any wild bird. I do not think a pet bird would be at risk of catching avian flu unless the pet owner also had chickens and a chicken contracted it. In that case it might be possible for the pet owner to expose the pet bird to the virus after touching the sick chicken. Other than that, the only way a pet bird could catch something that is spreading in the wild is if the pet owner had it, or had it on their body or clothing when handling the bird. I don't think you have anything to worry about.