No, unless it's damaged. The bike end of the hanger is specific to each frame, but the RD end is standardized.
When you've mounted the new RD, and before dialing in the shifting, you might want to double check that the hanger is straight. A rough check is easy if you shift the RD to a gear combination where the cage is nearly vertical. Then check to see if it's parallel to a yardstick or boom handle set vertical against the wheel, touching top and bottom.
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