No. The Alarms generated locally by Identifier are held in the local Identifier database. When an Alarm has been sent successfully sent over EdgeVis a flag is change in the database to highlight that Alarm has been sent.
If Identifier loses its EdgeVis connection, either because the connection to the encoder or EdgeVis server has gone then the Alarms will not be flagged as being sent. When the EdgeVis connection is re-established the Alarms will be sent.
Note, the Alarms will eventually be deleted, whether they have been sent or not. This is controlled by the ExpirationHours setting in the Identifier configuration file. By default this is set to 72 hours, i.e. 3 days.