Yes, you can store the connector details & other application related settings in a common storage to use it across multiple machines.
To avoid duplication of data during the parallel job execution in multiple machines, please configure the below storage settings.
Note : Parallel execution is supported in the workloads - Microsoft Teams Migration, Private Chat Migration, Stream Migration.
App Instance Name : Provide a unique for each machine where the migration jobs are executed.
Application Data : This option is selected by default and cannot be modified. This denotes the migration data which are stored in the SharePoint site of the chosen Group.
Connection Settings : You can choose to save the Connection settings – the Source & Target Connector setup information, to avoid re-entering the same information across machines.
Common Settings : You can choose to save the settings data, in order to use the same settings(Users Mapping, Api settings & Other settings) across machines.