Ah! I’m sorry, I misunderstood your question! I know of no way to do what you are asking using the included contacts module (without hacking the module’s code, and I don’t recommend doing that for a “core” module).
The way I would approach that is with a custom module/component. Possibly using one of the available form creation components where you can customize the screen and embed a form could give you a way to go that is reasonably convenient?
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