The answer is Yes and No.
No one ever made a ring with the intent to have it charged with 2 different colors in the spectrum.
However, the rings themselves take a charge from whatever lantern that they're programed to or whatever energy source they can and it's not like they change the energy from one color to the other. So they can hold any charge they want technically...
And further, before the GL corps were killed by Hal, Ion and Parallax were both in the same battery and the two colors were "combined" which produced the Yellow weakness.
The White rings are poweredd by the whole spectrum so they were cobined there. They were largely "unmixed" though so it is effectively wearing a green and yellow ring at the same time like Hal and Sinestro has done at various points.
This does raise the question of why no one has ever tried to mix Green and Blue though.