“Somebody told me” sounds like a “he said she said”, which is another way of saying that too often people repeat things; but what they repeat is not necessarily what was said.
The one hour fast is one hour (if you will) backwards from the reception of the Eucharist.
So, if it takes 45 minutes to get from the entrance rites, Liturgy of the Word, homily, and through the Consecration and up to Communion time, then one has to stop eating at 4:45.
Given that most people have to get up from dinner/supper, get out to a car, drive to the church (or walk, so get out to the street) and arrive at church prior to Mass starting (and theoretically be in the pew before it starts), there rarely is an issue of the fast being broken.
There are numerous parishes which have an evening Mass, and it simply does not come up in most places as it is, for a Sunday Mass, not the least bit unusual that it takes 45 minutes from the start of Mass to the point where distribution of the Eucharist starts.
I can’t speak to the authority, lack of authority or otherwise for the priest, or the circumstances such as something the bishop may have decided, or not.
But I would not be the least bit surprised if the message was wrong in its text. Someone may be simply confused, or heard it wrong.
Before everyone goes off half cocked on this, the OP did not hear the statement made by the priest, and probably does not know who actually may have heard it, and whether or not they got it correctly.
The most obvious next step would be to speak to the priest.
And the second most obvious step would be to not worry about it, since because of timing issues, it is unlikely to even be an issue - there will be plenty of time between last bite and reception.
Note also that this applies to all Sunday morning Masses, as people can eat breakfast before mass and still not break the fast.