While toggling Textured Solid in Solid mode doesn't support Backface Cullingview, it will always display culling effect, even when togglingregardless whether Backface Culling is toggled, I'm not sure if this is made on Textured Solidpurpose. So, I think the answer is "no". However, you can always switch to the real Texture shadingView mode in order to turn it off. FYI.