Is it possible to create 2 or more incident at a time without impacting each other?

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Hi All,

i have a requirement to create 2 incidents on one call, both incident will handle by two different departments.
first incident will automatically created when Agent gets inbound call, while talking if Agent thinks they need to create new incident (because of the nature of issue) they need to capture few custom fields and create another incident.

i was trying to create by workflow but it is replacing 1st incident with new one, where as i need to open these 2 incident in 2 different tab just like we open multiple incident under one contact.