Absolutely. To make a Type A to Type B cable swap the Tip & Ring on one end; if you start with a non-moulded TRS cable it’s very simple.

Tip ⟷ Ring
Ring ⟷ Tip
Sleeve ⟷ Sleeve

(The cable is a crossover, so it doesn’t matter which end goes to the Type A and which goes to the Type B.)

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