It is possible to transfer multiple contacts between campaigns. However, keep in mind this option is only possible when transferring contacts from a connector campaign to a messenger campaign.
1. Select the contacts you would like to move to another campaign.
2. Click the blue button Transfer button
3. Choose the campaign you want to transfer the contacts to
4. Choose the action you would like to perform while transfering the person
You can either remove this person from the current campaign and tranfer them to another one, or you can only pause it for this person and move them over to a different campaign.