NO!!
A 2001 Ford escape differential leak is usually caused by a bad seal. Replace the differential seal. The new seal should stop the oil leak.
The 2002 Ford Escape has front wheel drive.
The 2008 Ford Escape has front wheel drive.
The 2009 Ford Escape has front wheel drive.
The 2004 Ford Escape has front wheel drive.
The 2001 Ford Escape has front wheel drive.
The 2012 Ford Escape has front wheel drive.
The 2005 Ford Escape has front wheel drive.
The 2007 Ford Escape has front wheel drive.
The 2013 Ford Escape has front wheel drive.
The 2010 Ford Escape has front wheel drive.
The 2003 Ford Escape has front wheel drive.