They can complain but really if it's not excessive (as in constantly) and after a certain time in the a.m.(not sure of the times you would have to check where you live)and after a certain time p.m..
Around are area it's after 10pm at night for excessive noise. They can't really call to complain about the noise until after 10pm.
I don't think they could do much about it unless it's constantly. Call your animal control, Government housing office, or authority's & see what they say. You could make the call anonymous if you like. This way you'll know ahead of time where you stand on the issue.
And don't feel bad, a few of our chickens just started crossing the road to the neighbors yard & they are not hurting anything just eating some bugs & he's complaining.