If both your SQL instances are in a domain environment, then you can create a database mirroring operating in High Performance Mode (asynchronous data transfer). The above link will still holds good for your configuration, only you don't execute the code required for the witness server.

You also need to consider that while a database mirroring session operates in High Performance mode, a data loss can occur while you do a manual switch over. Also the mirror database may not contains the same data as principal database as there is no confirmation.

If your SQL Servers are in a workgroup environment, then you may need to consider using certificate for the database mirroring session.

Hope, this may help.