Hi Mody,
The Manage Map Server Cache Tiles tool can be used for existing map or image services, the correct work flow would be to publish your raster imagery as a map or image service and then build the tiles either while publishing or after.
Image services can be cached at version 10.1 and above and tiles can be migrated from one cache directory to another. In regards to copying it to another machine, if you have ArcGIS for Server installed as a separate single machine site, you would need to publish another service to machine 2 and copy the existing tiles into that cache directory. For Image service capabilities you would need the extension authorized. Is there a specific reason why you have to publish the service to another machine rather than consuming the service from machine 1?
Do you plan on using the enhanced capabilities of image services or do you just need to be able to view the data? For viewing purposes, a map service should be sufficient and you won't need the extension.
Hope this helps!
-Dan