)
Theoretically, if you delete all of them then re-add them it might change the order. That used to work on BoR at least. But the original dates would be lost, and that presumes all the badges are still available to be added back.
Some of those I think aren't available in the tool any more ...
Also ... don't artist badges sort to the front automagically? That way they don't wrap off the end I think ...
Unless you want to try SCIENCE! someone with eyes on the source should probably give a canonical answer.