Yes. There are actually several methods for making an Android backup:
Using Google backup
Using an app for backups on a non-rooted phone (Easy Backup)
Using an app on a rooted phone (Titanium Backup)
Using your computer with no need for root (Helium Backup)
PC backup for dummies section
Each section above (courtesy of AndroidPit.com) covers step-by-step instructions for each method. Hit the links to go directly to the section that most applies to you.
For more backing up solutions, see links below:
PCAdvisor.co.uk - How to Back Up Android for Free
Ubergizmo.com - How To Backup Android Phones
NDTV.com - How to Back Up Your Android Smartphone
PCMag.com - How to Back Up an Android Device
Security and privacy are always a hot topic in the mobile space. AndroidCentral.com shares advice on what we can do to make our phones more secure.