No. KM Variables, Clipboard History, and Named Clipboards are stored only on the Mac that KM is running on, and are NOT synced.
One alternative is to store the data you want sync'd in files in a system like DropBox.
Then, in KM use the Read a File action and Write a File action to use in your Macros.
You could also use a naming convention like "SYNC__MyVarName" to read all "sync" variables and write all, either periodically, or on demand.