In theory, yes. I believe they use a magnetic detector coil that detects if you’ve passed the “stop” line after the light turns red. The right turn lane could just not have a coil.
As far as a “shared lane”, the coil could be placed in the middle of the intersection, which right-turning vehicles wouldn’t cross.
But, to be safe, I make sure not to turn on red at camera-infected intersections. Let the people behind me honk, fume, and have their b.p. readings rise 50 points. It’s the least that they deserve for voting crooks who implemented red light cameras into orifice(*).