Do animals need bibs when they eat? This eagle looks like he has a fish chunk on his head. Not sure how he got this off.

I came across this eagle on two separate occasions on the same tree that jutted out over a creek in New York. I kayaked within good view of him in a very shady area. Eagles move between bodies of water. There was no nest visible along this creek from one waterfall to another. I will investigate when the leaves fall off to see if I missed something.
What do you think? Are animals messy eaters?