If you absolutely need to move the small cog to the left, you could add a 1 or 2 mm spacer washer on the outside of the driveside locknut. Since the frame undoubtedly has vertical dropouts, it shouldn't be a problem with the axle moving if you tighten the qr adequately and the remaining axle protrusion will be plenty.
But, be sure you really have a problem before you correct the unnecessary.