Yes, there is known support for a number of services for storing a .psafe3 file online. See https://sourceforge.net/p/passwdsafe/wiki/Home for known working ones.
gradle: Update
sync: PasswdSafe Sync 3.11.0
Update libraries
passwdsafe: Update test libraries
PasswdSafe Sync 3.11.0
sync: dropbox: Use the service when listing files
sync: dropbox: Refresh credentials as needed