To really hunt an emu, you want to lay on your back and cycle your legs in the air. Then when they get close enough, you jump up and grab one. Here’s a demonstration of the basic idea

I mean, essentially yeah. I guess kangaroos and emus are too intimidating compared to the usual small game they hunted. Our troubles on the mainland (Tasmania had a rabbit problem first) stems from just 24 rabbits that were released. For a while they were kept under control by native predators but natural selection meant that they got hardier, until we had a population explosion. In the 1950s we deliberately spread a rabbit-killing virus, which worked for a bit, but they’ve adapted partial immunity to that now.