Hi @JohnSteve,
Out of the box no - this is not possible.
Am by this answer I am assuming, that when you write Order, you actually means the sorting order of the attributes ?
So this means on product A,
Attribute A will be the 1.
Attribute B will be the 2.
Attribute C will be the 3.
And on product B
Attribute B will be the 1.
Attribute C will be the 2.
Is this correctly understod ?
Is so, have you tested with entering a sorting order on each attribute with a higher value.
Eg.:
Attribute A
Option 1 - Sorting order 1000
Option 1 - Sorting order 1010
Option 1 - Sorting order 1020
Option 1 - Sorting order 1030
Attribute B
Option 1 - Sorting order 1015
Option 1 - Sorting order 1025
Option 1 - Sorting order 1035
Option 1 - Sorting order 1040
And so on, this could possible make the sorting order work for you in the shop, if not too "many" sorting conflicts of you attributes, hard for me to imagine how many you have.
Looking forward to hear from you.
-- Best regards --
Kent Christiansen | Magento Certified Solution Specialist