If you have 2mm on right between tyre and stay, then yes, you can move wheel over. Don't even have to change dish. Most of the time, there's a TONNE of space between smallest-cog and dropout. So I just move a 1mm washer from right side of axle to left and that's it!

I usually do this anyway and re-dish wheel to reduce dish amount. I aim for 4mm gap between smallest-cog and inner dropout face. Sometimes I can reduce dish by 2-3mm this way.