Yes, Movebot has Delta transfer functionality built in. Deltas are normally run after your initial seed transfer is finished.
During a Delta transfer, Movebot only moves new files or files that have been modified since the seed transfer. In other words, unchanged files are not transferred during a Delta.
You can run a Delta for files and folders only, or use the Delta and Permissions transfer option to also apply permissions to the destination (when Migrate Permissions is enabled in the Movebot project).
IMPORTANT - Please note, changes to the file/folder structure within the destination should only be performed after all Delta's have completed and all data has been successfully transferred. Structure changes affect Delta calculations and could result in previously transferred data being re-processed and moved again.