Yes ... probably.
The probability is ... precisely ... ZERO.
If one accepts that the church has the ability in to bind and loose, then one could argue they have the ability to judge when it might merit to do so in some relation to a monetary fee (the grey area being that if a priest accepted such cash for selfish reasons they'd sort of being auto-matically acting outside of the church).
I'm not convinced the scenerio is impossible though I'd concur it's highly improbably and I can't come up with scenerio where it makes sense...