You can host multiple OJS installs on the same machine. If you can get a tar of the files and a dump of the database, you could move the existing OJS install to your host as-is.
If you want to incorporate the new journal into your existing install, it becomes a little more complicated, as there is no official way to do this for a complete journal.
Article and Issue export/import and User export/import is supported through the plugins. This will not transfer the configuration and workflow.
There is a third-party utility “fullJournalTransfer” which will transfer most of the configuration and workflow. It will not transfer plugins and plugin settings. You (or the other party) will need to upgrade the 2.2.2 instance to take advantage of this tool.
For links to more details, see this thread: