Anything is possible, but that would not be easy. You would need a transmission, transfer case, and drive shafts that matches up to the Chevy. You would also need to adapt everything under the hood from a Jeep to fit a Chevy motor.
The 2010 Jeep Grand-Cherokee has a V6 engine.
The 2007 Jeep Grand-Cherokee has a V6 engine.
The 2013 Jeep Grand-Cherokee has a V6 engine.
The 2012 Jeep Grand-Cherokee has a V6 engine.
The 2009 Jeep Grand-Cherokee has a V6 engine.
The 2011 Jeep Grand-Cherokee has a V6 engine.
The 2006 Jeep Grand-Cherokee has a V6 engine.
The 2014 Jeep Grand-Cherokee has a V6 engine.
The 2003 Jeep Grand-Cherokee has an inline 6 engine.
The 2004 Jeep Grand-Cherokee has an inline 6 engine.
The 2010 Jeep Grand-Cherokee has a 3.7 L base engine size.
The 2013 Jeep Grand-Cherokee has a 3.6 L base engine size.