Australian king parrot and eclectus?

Since both birds are the same size and almost the same, will there be a chance that the two birds produce an offspring, like a mutation of some sort? Just curious coz when I see a Solomon Island Eclectus, I can’t help but wonder that a king parrot can be it’s mate.

Eclectus Parrot with face in glass of vodka after breakup with local King Parrot

Eclectus parrot drowns sorrows in booze after a break up with a local King Parrot