[scoot]

The first is "off-menu", and the second (for which I don't think you meant "everyone") is "from the menu". So, no...

[fshbbdssbbgdd]

People really do say they “ordered something off the menu” when they found the item on the menu. I believe I could usually distinguish the two meanings if I heard a recording. If the item is not on the menu, the word “off” would be stressed.

[averageRoyalty]

In Australian english, "off the menu" is perfectly normal vernacular in non formal settings.