I see no cables/wires, only connectors.This link has a number of options for 1mm pitch dual inline connectors.
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https://www.google.com/search?client=firefox-b-d&q=1mm+pitch+dual+in+line+connectors
The pitch is certainly 1 mm.Be absolutely sure the pitch is 1 mm and not 1.27 mm or something else.
Once you are sure of that, you can find empty/unloaded connectors and individual, pre-crimped wires to use with them at DigiKey and other distributors.
How much space is there for that connection?
Was that at one time a board to board connection and now you want to add a cable?
I'm all about being a MacGyver. The time consuming part is going to be learning how all this stuff works and what I need to do.This was at one time a board-to-board connection and now I want to add a cable.
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