HeadShot climbs up into trees with a knife and jumps onto the backs of wild hogs to slay them with the knife. He was talking about trying the technique on bears. Maybe he will weigh in and provide more detail.
I once stunned a rabbit with a water bottle and snatched him up. Also have killed dove with my bicycle spokes, and once by grabbing from midair. Almost anything can be caught barehanded in suburban areas, where they don't fear people. Weasels are not a good idea to grab, even with gloves.
If you use your hands to capture prey, aren't they your weapon? Rethink your question; shoelaces, toothpicks, McDonald's straws, paperclips....all these things can be used to make traps or weapons.
Rabbits and other critters will often sit up to show that they see a predator, thereby signalling that it is useless to chase them. A well-thrown stick or rock will stun or tumble them enough to run down and grab.