Yes, it is possible that one person can purchase several tickets within one payment.
You as the event organizer are free to decide if there is a limited amount of tickets that one user can buy. 

However, if you want to know each individual person showing up for your event we recommend you limit "Max tickets per user" to 1. That way everyone have to register for the event.

How? When creating tickets for your events, choose "options" and set the maximum amount of tickets per user as you wish. 

Handling tickets & registration

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