Is it opal or opal-flashed glass? If so then it is possible. I never managed to find many examples, but according to Chance Expressions, p.48, in an Ideal Home exhibition catalogue: "Other designs soon to come will include White Greco on moss glass and in [Grecian] grey on pearl glass". However, that does not exclude an earlier or later development in relation to this pattern.
Somewhere, I do have (from memory) a ruby-flashed Greco that also includes the Masonic symbol so it is a strong possibility.
There is also a 'wannabe' from Svend Jensen - see pp.94–95 that is gold Greco on white. The green glass tray on p.95 also features a Chance possibility - this may be the moss green that's quoted before, but it is not Greco.