Driven rabbits are not easy but that's with a shotgun and has NO comparison to driven boar with a rifle. Especially no comparison to the many videos of Franz Albrecht choosing the gender and age and snatching them out of a running group of pigs...5, 6, 7 in a row. It's not even worth debating.
I do well enough at running targets. I confess to missing a very close running shot at a gemsbuck bull a couple weeks ago. That was a rare miss. The scope was cranked up to 6x and he was running through some partial brush. But it turns out I already hit him in the neck with first shot as he busted. After the miss he ran a short ways and turned to face me. I think he was about done. Heart shot in the chest finished it.
Last year's nyala. Hit it a bit low off the sticks. It ran to the river, fell down, got up, and took off. Shot it through the heart running at 100 yards.
Shot this bull buffalo on the run at sixty yards slightly quartering away. Behind the shoulder and through both lungs. Shot him again in the chest when he stopped and faced us. I called the shots before we were to the carcass.
The previous year I nailed this coyote through the heart on the fly at fifty yards, a crossing shot.
My first trip to Africa I shot this gemsbuck incoming at a gallop less than twenty yards twice through the heart.
Later in Montana I killed this muley buck on the run after hitting the hill I was shooting over with the first shot. Got up from prone position and flattened him with second shot.
There's lots more including two huge bull elk shot on the move ... in the head.
I rarely miss a running shot because 1) I only take close running shots with high probability of hitting the target well, 2) my gun fits me perfectly, and 3) I shoot a LOT of birds and clay targets. Yes, a shotgun is different than a rifle, but for moving targets the principles are the same. Watch the target not the gun/crosshairs. And follow through. Oh, and a good trigger helps immensely, much more so when shooting moving animals with a rifle than wingshooting a shotgun.