Hi pzptoo,
Thanks for posting your question here. Yes, it is possible to move multiple images to a new folder in bulk. In order to do this, you will first want to go to the Image Management page within your account by mousing over the "Images" tab and selecting the "Manage" option.
Once you are there, you can move images to new folders in bulk by checking the boxes next to the desired images, selecting the folder you would like to move them to from the drop down menu next to the blue "Move to Folder" button, and then clicking the "Move to Folder" button.
I hope this helps. If you need any further assistance with your account, please feel free to contact our customer support team by mousing over the "Help" tab and selecting the "File Support Case" option.
-Mike