Sometimes.
> just as hard as physics.
No. Not even close.
Biology it's more about classification/sorting than Math.
No, always. No exceptions.
> No. Not even close.
It's exactly equal because it's a category not a scale and certainly not a competition.
Hard sciences are those that can be tested and verified. Biology, neurology and physicals all meet that criteria, and thus are all hard.
Soft sciences are those that are harder to test, like economics and psychology.
Biology it's more about classification/sorting than Math.