The change in atmospheric pressure does affect fishing and affects how good the fish bite and when and if the fish will come to the surface to bite.
Falling atmospheric pressure can sometimes force the bait to hold deeper and become less active, which would impact the ability to catch fish.
When the pressure falls then fishing usually becomes better and the fish tend to bite more often and better.
But when the pressure rises fish tend to bite Medium to Slow in deeper water or near cover while fishing slowly.
So it's best to go fishing when the atmospheric pressure is falling but you can sometimes still catch fish when the pressure is either falling or rising.
I usually get better results when fishing when the atmospheric pressure is falling than I do when the atmospheric pressure is rising.