Set reminder for share on existing appointment

Is there a way to update and add a reminder for an appointment currently set for another individual:

Like so:

I sent an email to so and so and requested we meet on next monday.

I sent a reminder for sandy, but I would like to also set a reminder for someone else after the appointment has already been sent to Sandy? Is that possible?
 
happy I’m happy if it can or can't
Inappropriate?
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