You can usually remove touch-up varnish with some alcohol and this is why often touch-up varnish is just spirit or shellac; dries quickly and can be removed. But if the underlying varnish is also spirit based you have to be very careful not to remove it too! I usually resort to smoothing and blending what's there with fine steel wool or micromesh.
It depends a lot what is over what, and how well the job was done in the first place!
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