There are two schools of thought about dice influencing or dice control:
1. It's impossible.
2. It's possible, but no one can do it.
I think it's possible but I think very few can do it. Personally, I've only observed three people who I would consider to have a truly "influenced" throw. That doesn't mean they "control" the dice -- but they "influence" the dice.
Everyone influences the dice to a certain degree. For the least amount of influence -- the shooter keeps both dice on the table. The most influence I ever witnessed had the shooter throwing the dice so it appeared they were on axis, rotating together, and gently hitting and ever so gently bouncing off the back wall -- but that is where the "on axis" part ended.
Do dice have to bounce off the wall "on axis" to still be an influenced or winning throw? No.
But when someone says that even an on-axis throw is impossible, I know that is not true. Anyone with practice can have an on-axis throw. And to practice you only need two dice thrown on your bed. You can see for yourself if the throw is on axis.
The art and skill is keeping the throw soft and easy so the bounce off the back wall keeps the dice moving off axis very little.
I would never say on-axis throws are impossible.