I'm going to go with no...
This is the bag I have for utility articles/gloves and my regular AKC obedience dumbbell.
J and J Dog Supplies: Nylon Mesh Article Bag
The dimensions are pretty much the same as the bag you posted and its pretty much full once I put a leash or two and another collar in there for agility. There is no way I get a tracking harness, long lead, or even a water bottle for the dog in there and then comfortably be able to take things out without spilling everything out just to get one thing.