Not that way.
It’s totally out of the realm of ‘normal dog behavior’.
No dog ever stuck a paw down another dog’s throat.
:)
The only way I was ever successful at getting my JRT’s apart when they were fighting and clamped onto each other heads was with water. Not a cup of water but the water hose. I could drag them outside and stick the hose into their mouths till they were choking and they would let go. No amount of hitting, kicking or trying to pry them apart would work.