it is possible, there are companies who are specialised in doing this, doubt you can DIY, because there are no counterpart RHD parts for that car [i think]
The 2014 Toyota FJ-Cruiser has rear wheel drive.
The 2005 Toyota Land-Cruiser has four wheel drive.
The 2007 Toyota FJ-Cruiser has rear wheel drive.
The 2003 Toyota Land-Cruiser has four wheel drive.
The 2011 Toyota Land-Cruiser has four wheel drive.
The 2010 Toyota Land-Cruiser has four wheel drive.
The 2010 Toyota FJ-Cruiser has rear wheel drive.
The 2013 Toyota Land-Cruiser has four wheel drive.
The 2011 Toyota FJ-Cruiser has rear wheel drive.
The 2008 Toyota Land-Cruiser has four wheel drive.
The 2004 Toyota Land-Cruiser has four wheel drive.
The 2002 Toyota Land-Cruiser has four wheel drive.